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Annals of PDE

Journal Dedicated to the Analysis of Problems from Physical Sciences

Short Title: Ann. PDE
Publisher: Springer (SpringerOpen), Berlin/Heidelberg
ISSN: 2524-5317; 2199-2576/e
Online: https://link.springer.com/journal/volumesAndIssues/40818
Comments: Journal; Indexed cover-to-cover; Published electronic only as of Vol. 1 (2015). This journal is available open access.
Documents Indexed: 175 Publications (since 2015)
References Indexed: 174 Publications with 7,418 References.
all top 5

Authors

5 Luk, Jonathan
4 Jeong, In-Jee
4 Masmoudi, Nader
4 Oh, Sung-Jin
4 Vicol, Vlad C.
3 Aretakis, Stefanos
3 Bedrossian, Jacob
3 Castro, Ángel
3 Colombo, Maria
3 Cordoba, Diego
3 Czimek, Stefan
3 Elgindi, Tarek Mohamed
3 Gancedo, Francisco
3 Guo, Yan
3 Klainerman, Sergiu
3 Nguyen, Toan Trong
3 Szeftel, Jérémie
3 Wang, Qian
3 Yang, Shiwu
3 Zhang, Zhifei
2 Alazard, Thomas
2 An, Xinliang
2 Angelopoulos, Yannis
2 Buckmaster, Tristan
2 Chaturvedi, Sanchit
2 Chen, Xuwen
2 Cheskidov, Alexey
2 Constantin, Peter
2 Coti Zelati, Michele
2 Crippa, Gianluca
2 Dietert, Helge
2 Dodson, Benjamin G.
2 Duerinckx, Mitia
2 Fefferman, Charles Louis
2 Fujii, Mikihiro
2 Gajic, Dejan
2 Gérard-Varet, David
2 Gómez-Serrano, Javier
2 Graf, Olivier
2 Han-Kwan, Daniel
2 Hintz, Peter
2 Holzegel, Gustav
2 Huneau, Cécile
2 Ignatova, Mihaela
2 Ionescu, Alexandru D.
2 Jang, Juhi
2 Kim, Chanwoo
2 Krieger, Joachim
2 Lawrie, Andrew G. W.
2 Lührmann, Jonas
2 Luo, Chenyun
2 Luo, Xiaoyutao
2 Moschidis, Georgios
2 Pasqualotto, Federico
2 Rousset, Frédéric
2 Speck, Jared
2 Székelyhidi, László jun.
2 Tataru, Daniel
2 Wei, Dongyi
1 Ai, Albert
1 Alberti, Giovanni
1 Albritton, Dallas
1 An, Zhongshan
1 Andersson, Lars Åke
1 Antonelli, Paolo
1 Apetroaie, Marios Antonios
1 Banica, Valeria
1 Beekie, Rajendra
1 Bernier, Joackim
1 Bodineau, Thierry
1 Brézis, Haïm
1 Bringmann, Björn
1 Bruè, Elia
1 Byeon, Jaeyoung
1 Caffarelli, Luis Ángel
1 Cagnetti, Filippo
1 Candy, Timothy
1 Carrapatoso, Kleber
1 Charro, Fernando
1 Chen, Gui-Qiang G.
1 Chen, Jiajie
1 Chen, Tiancong
1 Chiodaroli, Elisabetta
1 Christodoulou, Demetrios
1 Chu, Jianchun
1 Cirant, Marco
1 Collins, Tristan Clifford
1 Collot, Charles
1 Coron, Jean-Michel
1 Costa, João Lopes
1 Cuccagna, Scipio
1 Dafermos, Mihalis
1 Dal Maso, Gianni
1 Daneri, Sara
1 De Lellis, Camillo
1 Di Gesù, Giacomo
1 Dolce, Michele
1 Drivas, Theodore Dimitrios
1 Enciso, Alberto
1 Esposito, Raffaele
...and 187 more Authors

Publications by Year

Citations contained in zbMATH Open

153 Publications have been cited 2,412 times in 1,766 Documents Cited by Year
Global well-posedness and large time asymptotic behavior of classical solutions to the compressible Navier-Stokes equations with vacuum. Zbl 1428.35300
Li, Jing; Xin, Zhouping
82
2019
Landau damping: paraproducts and Gevrey regularity. Zbl 1402.35058
Bedrossian, Jacob; Masmoudi, Nader; Mouhot, Clément
75
2016
On global dynamics of three dimensional magnetohydrodynamics: nonlinear stability of Alfvén waves. Zbl 1398.35170
He, Ling-Bing; Xu, Li; Yu, Pin
73
2018
Prandtl boundary layer expansions of steady Navier-Stokes flows over a moving plate. Zbl 1403.35204
Guo, Yan; Nguyen, Toan T.
58
2017
Stationary solutions to the Boltzmann equation in the hydrodynamic limit. Zbl 1403.35195
Esposito, Raffaele; Guo, Yan; Kim, Chanwoo; Marra, Rossana
56
2018
Boundedness and decay for the Teukolsky equation on Kerr spacetimes. I: The case \(|a|\ll M\). Zbl 1428.35585
Dafermos, Mihalis; Holzegel, Gustav; Rodnianski, Igor
56
2019
Well-posedness of the Prandtl equations without any structural assumption. Zbl 1428.35355
Dietert, Helge; Gérard-Varet, David
55
2019
Non-uniqueness for the transport equation with Sobolev vector fields. Zbl 1411.35066
Modena, Stefano; Székelyhidi, László jun.
54
2018
Uniformly rotating analytic global patch solutions for active scalars. Zbl 1397.35020
Castro, Angel; Córdoba, Diego; Gómez-Serrano, Javier
51
2016
Hölder continuous solutions of active scalar equations. Zbl 1395.35061
Isett, Philip; Vicol, Vlad
50
2015
The global nonlinear stability of Minkowski space for the massless Einstein-Vlasov system. Zbl 1471.35270
Taylor, Martin
47
2017
Linear inviscid damping and vorticity depletion for shear flows. Zbl 1428.35336
Wei, Dongyi; Zhang, Zhifei; Zhao, Weiren
45
2019
The \(r^{p}\)-weighted energy method of Dafermos and Rodnianski in general asymptotically flat spacetimes and applications. Zbl 1397.35031
Moschidis, Georgios
42
2016
Vortex axisymmetrization, inviscid damping, and vorticity depletion in the linearized 2D Euler equations. Zbl 1428.35321
Bedrossian, Jacob; Coti Zelati, Michele; Vicol, Vlad
42
2019
Non-local functionals related to the total variation and connections with image processing. Zbl 1398.49042
Brezis, Haïm; Nguyen, Hoai-Minh
40
2018
Edge states in honeycomb structures. Zbl 1404.35128
Fefferman, C. L.; Lee-Thorp, J. P.; Weinstein, M. I.
39
2016
Landau equation for very soft and Coulomb potentials near maxwellians. Zbl 1404.35043
Carrapatoso, K.; Mischler, S.
38
2017
Small data solutions of the Vlasov-Poisson system and the vector field method. Zbl 1397.35033
Smulevici, Jacques
36
2016
Finite-time singularity formation for strong solutions to the axi-symmetric \(3D\) Euler equations. Zbl 1436.35055
Elgindi, Tarek M.; Jeong, In-Jee
36
2019
\(L^\infty\) instability of Prandtl layers. Zbl 1436.35037
Grenier, Emmanuel; Nguyen, Toan T.
36
2019
On pseudospectral bound for non-selfadjoint operators and its application to stability of Kolmogorov flows. Zbl 1439.35370
Ibrahim, Slim; Maekawa, Yasunori; Masmoudi, Nader
34
2019
Non-linear stability of the Kerr-Newman-de Sitter family of charged black holes. Zbl 1396.83018
Hintz, Peter
33
2018
Weak solutions of ideal MHD which do not conserve magnetic helicity. Zbl 1462.35282
Beekie, Rajendra; Buckmaster, Tristan; Vicol, Vlad
32
2020
On the dynamics of floating structures. Zbl 1403.35239
Lannes, David
30
2017
Critical SQG in bounded domains. Zbl 1397.35202
Constantin, Peter; Ignatova, Mihaela
30
2016
On the \(C^{1,1}\) regularity of geodesics in the space of Kähler metrics. Zbl 1397.35050
Chu, Jianchun; Tosatti, Valentino; Weinkove, Ben
30
2017
From hard sphere dynamics to the Stokes-Fourier equations: an \(L^2\) analysis of the Boltzmann-Grad limit. Zbl 1403.35194
Bodineau, Thierry; Gallagher, Isabelle; Saint-Raymond, Laure
28
2017
A vector field approach to almost-sharp decay for the wave equation on spherically symmetric, stationary spacetimes. Zbl 1421.35025
Angelopoulos, Y.; Aretakis, S.; Gajic, D.
28
2018
Finite-time singularity formation for strong solutions to the Boussinesq system. Zbl 1462.35287
Elgindi, Tarek M.; Jeong, In-Jee
28
2020
Strong cosmic censorship in spherical symmetry for two-ended asymptotically flat initial data II: the exterior of the Black Hole region. Zbl 1428.35588
Luk, Jonathan; Oh, Sung-Jin
27
2019
The anomaly flow and the Fu-Yau equation. Zbl 1410.81030
Phong, Duong H.; Picard, Sebastien; Zhang, Xiangwen
25
2018
On the global uniqueness for the Einstein-Maxwell-scalar field system with a cosmological constant. III: Mass inflation and extendibility of the solutions. Zbl 1396.83005
Costa, João L.; Girão, Pedro M.; Natário, José; Drumond Silva, Jorge
24
2017
Unique continuation for fractional orders of elliptic equations. Zbl 1397.35048
Yu, Hui
24
2017
A two-soliton with transient turbulent regime for the cubic half-wave equation on the real line. Zbl 1397.35062
Gérard, Patrick; Lenzmann, Enno; Pocovnicu, Oana; Raphaël, Pierre
24
2018
A sufficient condition for asymptotic stability of kinks in general (1+1)-scalar field models. Zbl 1469.35150
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio; Van Den Bosch, Hanne
24
2021
Loss of regularity for the continuity equation with non-Lipschitz velocity field. Zbl 1422.76078
Alberti, Giovanni; Crippa, Gianluca; Mazzucato, Anna L.
24
2019
Shock development in spherical symmetry. Zbl 1402.35172
Christodoulou, Demetrios; Lisibach, André
22
2016
Nonuniqueness of weak solutions for the transport equation at critical space regularity. Zbl 1469.35001
Cheskidov, Alexey; Luo, Xiaoyutao
22
2021
Ill-posedness for the incompressible Euler equations in critical Sobolev spaces. Zbl 1403.35218
Elgindi, Tarek Mohamed; Jeong, In-Jee
21
2017
Sharp asymptotics of the first exit point density. Zbl 1431.60087
Gesù, Giacomo Di; Lelièvre, Tony; Peutrec, Dorian Le; Nectoux, Boris
21
2019
The linear stability of the Schwarzschild solution to gravitational perturbations in the generalised wave gauge. Zbl 1436.35038
Johnson, Thomas William
20
2019
Finite time blowup for Lagrangian modifications of the three-dimensional Euler equation. Zbl 1397.35181
Tao, Terence
19
2016
Stable shock formation for nearly simple outgoing plane symmetric waves. Zbl 1402.35173
Speck, Jared; Holzegel, Gustav; Luk, Jonathan; Wong, Willie
19
2016
Suppression of plasma echoes and Landau damping in Sobolev spaces by weak collisions in a Vlasov-Fokker-Planck equation. Zbl 1397.35024
Bedrossian, Jacob
19
2017
Rational normal forms and stability of small solutions to nonlinear Schrödinger equations. Zbl 1475.37080
Bernier, Joackim; Faou, Erwan; Grébert, Benoît
19
2020
On the local existence and blow-up for generalized SQG patches. Zbl 1473.35473
Gancedo, Francisco; Patel, Neel
19
2021
On a fractional Monge-Ampère operator. Zbl 1393.35268
Caffarelli, Luis; Charro, Fernando
18
2015
Logarithmic local energy decay for scalar waves on a general class of asymptotically flat spacetimes. Zbl 1402.35046
Moschidis, Georgios
18
2016
Finite depth gravity water waves in holomorphic coordinates. Zbl 1403.35237
Harrop-Griffiths, Benjamin; Ifrim, Mihaela; Tataru, Daniel
18
2017
Stability of vacuum for the Landau equation with moderately soft potentials. Zbl 1423.35069
Luk, Jonathan
18
2019
Concentration compactness for the critical Maxwell-Klein-Gordon equation. Zbl 1406.35181
Krieger, Joachim; Lührmann, Jonas
17
2015
Global regularity for 2D Boussinesq temperature patches with no diffusion. Zbl 1403.35236
Gancedo, Francisco; García-Juárez, Eduardo
17
2017
Regularity theory for 2-dimensional almost minimal currents. II: Branched center manifold. Zbl 1412.49082
De Lellis, Camillo; Spadaro, Emanuele; Spolaor, Luca
17
2017
Evolution of polygonal lines by the binormal flow. Zbl 1462.35279
Banica, Valeria; Vega, Luis
17
2020
On the Cauchy problem for the Muskat equation. II: Critical initial data. Zbl 1473.35430
Alazard, Thomas; Nguyen, Quoc-Hung
17
2021
Moment maps, nonlinear PDE and stability in mirror symmetry. I: Geodesics. Zbl 1469.58007
Collins, Tristan C.; Yau, Shing-Tung
17
2021
Geometric analysis of the linear Boltzmann equation. I: Trend to equilibrium. Zbl 1398.35142
Han-Kwan, Daniel; Léautaud, Matthieu
15
2015
Stability of Minkowski space and polyhomogeneity of the metric. Zbl 1462.35389
Hintz, Peter; Vasy, András
15
2020
Global well-posedness and scattering for the defocusing, mass-critical generalized KdV equation. Zbl 1403.35263
Dodson, Benjamin
14
2017
Shock formation for 2\(D\) quasilinear wave systems featuring multiple speeds: blowup for the fastest wave, with non-trivial interactions up to the singularity. Zbl 1400.35182
Speck, Jared
14
2018
Asymptotic stability of equilibria for screened Vlasov-Poisson systems via pointwise dispersive estimates. Zbl 1492.35341
Han-Kwan, Daniel; Nguyen, Toan T.; Rousset, Frédéric
14
2021
A geometric approach for sharp local well-posedness of quasilinear wave equations. Zbl 1397.35158
Wang, Qian
13
2017
Local well-posedness of the \((4 + 1)\)-dimensional Maxwell-Klein-Gordon equation at energy regularity. Zbl 1402.35273
Oh, Sung-Jin; Tataru, Daniel
12
2016
The characteristic gluing problem and conservation laws for the wave equation on null hypersurfaces. Zbl 1398.58012
Aretakis, Stefanos
12
2017
An extension procedure for the constraint equations. Zbl 1403.35287
Czimek, Stefan
12
2018
Non-uniqueness for the Euler equations up to Onsager’s critical exponent. Zbl 1478.35171
Daneri, Sara; Runa, Eris; Székelyhidi, László
12
2021
Maximal \(L^q\)-regularity for parabolic Hamilton-Jacobi equations and applications to mean field games. Zbl 1486.35134
Cirant, Marco; Goffi, Alessandro
12
2021
Splash singularities for the free boundary Navier-Stokes equations. Zbl 1428.35275
Castro, Angel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco; Gómez-Serrano, Javier
12
2019
Leapfrogging vortex rings for the three dimensional Gross-Pitaevskii equation. Zbl 1406.35252
Jerrard, Robert L.; Smets, Didier
11
2018
A type II blowup for the six dimensional energy critical heat equation. Zbl 1469.35056
Harada, Junichi
11
2020
Controllability of the Navier-Stokes equation in a rectangle with a little help of a distributed phantom force. Zbl 1439.35367
Coron, Jean-Michel; Marbach, Frédéric; Sueur, Franck; Zhang, Ping
11
2019
Linear stability analysis of the homogeneous Couette flow in a 2D isentropic compressible fluid. Zbl 1483.35157
Antonelli, Paolo; Dolce, Michele; Marcati, Pierangelo
11
2021
Stabilization of the water-wave equations with surface tension. Zbl 1403.35226
Alazard, Thomas
10
2017
Scaling and saturation in infinite-dimensional control problems with applications to stochastic partial differential equations. Zbl 1410.35118
Glatt-Holtz, Nathan E.; Herzog, David P.; Mattingly, Jonathan C.
10
2018
The linear stability of Reissner-Nordström spacetime for small charge. Zbl 1462.35388
Giorgi, Elena
10
2020
Incompressible Euler limit from Boltzmann equation with diffuse boundary condition for analytic data. Zbl 1490.35274
Jang, Juhi; Kim, Chanwoo
10
2021
Coordinates at small energy and refined profiles for the nonlinear Schrödinger equation. Zbl 1490.35405
Cuccagna, Scipio; Maeda, Masaya
10
2021
On the global stability of the wave-map equation in Kerr spaces with small angular momentum. Zbl 1396.83006
Ionescu, Alexandru D.; Klainerman, Sergiu
9
2015
Stability of Minkowski space-time with a translation space-like Killing field. Zbl 1403.35291
Huneau, Cécile
9
2018
Global solution for massive Maxwell-Klein-Gordon equations with large Maxwell field. Zbl 1469.35033
Fang, Allen; Wang, Qian; Yang, Shiwu
9
2021
Construction of GCM spheres in perturbations of Kerr. Zbl 1501.35394
Klainerman, Sergiu; Szeftel, Jérémie
9
2022
Global well-posedness for the fifth-order KdV equation in \(H^{-1}(\mathbb{R})\). Zbl 1493.35089
Bringmann, Bjoern; Killip, Rowan; Visan, Monica
9
2021
Solutions to the Einstein-scalar-field system in spherical symmetry with large bounded variation norms. Zbl 1403.35292
Luk, Jonathan; Oh, Sung-Jin; Yang, Shiwu
8
2018
On the formation of shock for quasilinear wave equations with weak intensity pulse. Zbl 1400.35181
Miao, Shuang
8
2018
Asymptotically self-similar blowup of the Hou-Luo model for the 3D Euler equations. Zbl 1504.35247
Chen, Jiajie; Hou, Thomas Y.; Huang, De
8
2022
Simultaneous development of shocks and cusps for 2D Euler with azimuthal symmetry from smooth data. Zbl 1504.35192
Buckmaster, Tristan; Drivas, Theodore D.; Shkoller, Steve; Vicol, Vlad
8
2022
A determination of the blowup solutions to the focusing NLS with mass equal to the mass of the soliton. Zbl 1504.35472
Dodson, Benjamin
8
2023
On echo chains in Landau damping: traveling wave-like solutions and Gevrey 3 as a linear stability threshold. Zbl 1469.35066
Zillinger, Christian
8
2021
\(L^2\)-critical nonuniqueness for the 2D Navier-Stokes equations. Zbl 1531.35213
Cheskidov, Alexey; Luo, Xiaoyutao
8
2023
Sedimentation of random suspensions and the effect of hyperuniformity. Zbl 1507.35173
Duerinckx, Mitia; Gloria, Antoine
8
2022
From Vlasov-Maxwell-Boltzmann system to two-fluid incompressible Navier-Stokes-Fourier-Maxwell system with Ohm’s law: convergence for classical solutions. Zbl 1507.35288
Jiang, Ning; Luo, Yi-Long
8
2022
Stability of solitary waves for the modified Camassa-Holm equation. Zbl 1483.35164
Li, Ji; Liu, Yue
8
2021
On convergence of approximate solutions to the compressible Euler system. Zbl 1448.35375
Feireisl, Eduard; Hofmanová, Martina
8
2020
Mean-field dynamics for Ginzburg-Landau vortices with pinning and forcing. Zbl 1420.35392
Duerinckx, Mitia; Serfaty, Sylvia
7
2018
Low regularity solutions for gravity water waves II: the 2D case. Zbl 1462.35275
Ai, Albert
7
2020
Localized mixing zone for Muskat bubbles and turned interfaces. Zbl 1492.35218
Castro, Á.; Faraco, D.; Mengual, F.
7
2022
Sharp decay estimates for the logarithmic fast diffusion equation and the Ricci flow on surfaces. Zbl 1397.35034
Topping, Peter M.; Yin, Hao
6
2017
Global regularity for the 2+1 dimensional equivariant Einstein-wave map system. Zbl 1403.35290
Andersson, Lars; Gudapati, Nishanth; Szeftel, Jérémie
6
2017
On the division problem for the wave maps equation. Zbl 1411.35198
Candy, Timothy; Herr, Sebastian
6
2018
On the motion of a compressible gravity water wave with vorticity. Zbl 1414.35158
Luo, Chenyun
6
2018
Nonlinear Landau damping for the Vlasov-Poisson system in \(\mathbb{R}^3\): the Poisson equilibrium. Zbl 07836417
Ionescu, Alexandru D.; Pausader, Benoit; Wang, Xuecheng; Widmayer, Klaus
2
2024
A determination of the blowup solutions to the focusing NLS with mass equal to the mass of the soliton. Zbl 1504.35472
Dodson, Benjamin
8
2023
\(L^2\)-critical nonuniqueness for the 2D Navier-Stokes equations. Zbl 1531.35213
Cheskidov, Alexey; Luo, Xiaoyutao
8
2023
An inverse problem for a semilinear elliptic equation on conformally transversally anisotropic manifolds. Zbl 1528.35232
Feizmohammadi, Ali; Liimatainen, Tony; Lin, Yi-Hsuan
5
2023
Naked singularities in the Einstein-Euler system. Zbl 1523.35013
Guo, Yan; Hadzic, Mahir; Jang, Juhi
4
2023
Construction of GCM hypersurfaces in perturbations of Kerr. Zbl 1524.35642
Shen, Dawei
4
2023
Gluing non-unique Navier-Stokes solutions. Zbl 1529.35323
Albritton, Dallas; Brué, Elia; Colombo, Maria
3
2023
Anomalous dissipation and lack of selection in the Obukhov-Corrsin theory of scalar turbulence. Zbl 1536.35261
Colombo, Maria; Crippa, Gianluca; Sorella, Massimo
3
2023
The inviscid limit of viscous Burgers at nondegenerate shock formation. Zbl 1504.35032
Chaturvedi, Sanchit; Graham, Cole
2
2023
Quantitative control of solutions to the axisymmetric Navier-Stokes equations in terms of the weak \(L^3\) norm. Zbl 1529.35340
Ożański, W. S.; Palasek, S.
2
2023
Construction of blow-up manifolds to the equivariant self-dual Chern-Simons-Schrödinger equation. Zbl 1518.35149
Kim, Kihyun; Kwon, Soonsik
2
2023
Construction of a right inverse for the divergence in non-cylindrical time dependent domains. Zbl 1516.35341
Saari, Olli; Schwarzacher, Sebastian
2
2023
Soliton resolution for the energy-critical nonlinear wave equation in the radial case. Zbl 1529.35304
Jendrej, Jacek; Lawrie, Andrew
2
2023
Orientation mixing in active suspensions. Zbl 1529.35372
Coti Zelati, Michele; Dietert, Helge; Gérard-Varet, David
2
2023
Dispersion for the wave equation inside strictly convex domains. II: The general case. Zbl 1523.35216
Ivanovici, Oana; Lascar, Richard; Lebeau, Gilles; Planchon, Fabrice
1
2023
On the local well-posedness for the relativistic Euler equations for a liquid body. Zbl 1541.35360
Ginsberg, Daniel; Lindblad, Hans
1
2023
Instability of the Kerr Cauchy horizon under linearised gravitational perturbations. Zbl 1522.35503
Sbierski, Jan
1
2023
Nonlinear interaction of three impulsive gravitational waves. II: The wave estimates. Zbl 1522.35502
Luk, Jonathan; Van de Moortel, Maxime
1
2023
Construction of GCM spheres in perturbations of Kerr. Zbl 1501.35394
Klainerman, Sergiu; Szeftel, Jérémie
9
2022
Asymptotically self-similar blowup of the Hou-Luo model for the 3D Euler equations. Zbl 1504.35247
Chen, Jiajie; Hou, Thomas Y.; Huang, De
8
2022
Simultaneous development of shocks and cusps for 2D Euler with azimuthal symmetry from smooth data. Zbl 1504.35192
Buckmaster, Tristan; Drivas, Theodore D.; Shkoller, Steve; Vicol, Vlad
8
2022
Sedimentation of random suspensions and the effect of hyperuniformity. Zbl 1507.35173
Duerinckx, Mitia; Gloria, Antoine
8
2022
From Vlasov-Maxwell-Boltzmann system to two-fluid incompressible Navier-Stokes-Fourier-Maxwell system with Ohm’s law: convergence for classical solutions. Zbl 1507.35288
Jiang, Ning; Luo, Yi-Long
8
2022
Localized mixing zone for Muskat bubbles and turned interfaces. Zbl 1492.35218
Castro, Á.; Faraco, D.; Mengual, F.
7
2022
Effective results on uniformization and intrinsic GCM spheres in perturbations of Kerr. Zbl 1501.35395
Klainerman, Sergiu; Szeftel, Jérémie
6
2022
Decay of the Weyl curvature in expanding black hole cosmologies. Zbl 1537.35339
Schlue, Volker
6
2022
The case against smooth null infinity. III: Early-time asymptotics for higher \(\ell\)-modes of linear waves on a Schwarzschild background. Zbl 1495.35033
Kehrberger, Leonhard M. A.
6
2022
On the Cauchy problem for the Hall and electron magnetohydrodynamic equations without resistivity I: Illposedness near degenerate stationary solutions. Zbl 1504.35330
Jeong, In-Jee; Oh, Sung-Jin
6
2022
The flow of polynomial roots under differentiation. Zbl 1495.35177
Kiselev, Alexander; Tan, Changhui
5
2022
Spectral analysis for singularity formation of the two dimensional Keller-Segel system. Zbl 1490.35235
Collot, Charles; Ghoul, Tej-Eddine; Masmoudi, Nader; Nguyen, Van Tien
4
2022
\(\textrm{SO}(2)\) symmetry of the translating solitons of the mean curvature flow in \(\mathbb{R}^4\). Zbl 1510.53110
Zhu, Jingze
4
2022
Global solutions to multi-dimensional topological Euler alignment systems. Zbl 1485.92181
Lear, Daniel; Reynolds, David N.; Shvydkoy, Roman
3
2022
The canonical foliation on null hypersurfaces in low regularity. Zbl 1504.35549
Czimek, Stefan; Graf, Olivier
2
2022
Price’s law for spin fields on a Schwarzschild background. Zbl 1504.35546
Ma, Siyuan; Zhang, Lin
2
2022
A global method for deterministic and stochastic homogenisation in BV. Zbl 1490.49011
Cagnetti, Filippo; Dal Maso, Gianni; Scardia, Lucia; Zeppieri, Caterina Ida
2
2022
A scale-critical trapped surface formation criterion: a new proof via signature for decay rates. Zbl 1490.35490
An, Xinliang
2
2022
Quantitative derivation and scattering of the 3D cubic NLS in the energy space. Zbl 1495.35136
Chen, Xuwen; Holmer, Justin
2
2022
The unconditional uniqueness for the energy-supercritical NLS. Zbl 1492.35301
Chen, Xuwen; Shen, Shunlin; Zhang, Zhifei
2
2022
The spacelike-characteristic Cauchy problem of general relativity in low regularity. Zbl 1504.35544
Czimek, Stefan; Graf, Olivier
1
2022
Global stability for nonlinear wave equations with multi-localized initial data. Zbl 1503.35031
Anderson, John; Pasqualotto, Federico
1
2022
Global entropy solutions and Newtonian limit for the relativistic Euler equations. Zbl 1490.35260
Chen, Gui-Qiang G.; Schrecker, Matthew R. I.
1
2022
Global regular null hypersurfaces in a perturbed Schwarzschild black hole exterior. Zbl 1504.35550
Le, Pengyu
1
2022
A sufficient condition for asymptotic stability of kinks in general (1+1)-scalar field models. Zbl 1469.35150
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio; Van Den Bosch, Hanne
24
2021
Nonuniqueness of weak solutions for the transport equation at critical space regularity. Zbl 1469.35001
Cheskidov, Alexey; Luo, Xiaoyutao
22
2021
On the local existence and blow-up for generalized SQG patches. Zbl 1473.35473
Gancedo, Francisco; Patel, Neel
19
2021
On the Cauchy problem for the Muskat equation. II: Critical initial data. Zbl 1473.35430
Alazard, Thomas; Nguyen, Quoc-Hung
17
2021
Moment maps, nonlinear PDE and stability in mirror symmetry. I: Geodesics. Zbl 1469.58007
Collins, Tristan C.; Yau, Shing-Tung
17
2021
Asymptotic stability of equilibria for screened Vlasov-Poisson systems via pointwise dispersive estimates. Zbl 1492.35341
Han-Kwan, Daniel; Nguyen, Toan T.; Rousset, Frédéric
14
2021
Non-uniqueness for the Euler equations up to Onsager’s critical exponent. Zbl 1478.35171
Daneri, Sara; Runa, Eris; Székelyhidi, László
12
2021
Maximal \(L^q\)-regularity for parabolic Hamilton-Jacobi equations and applications to mean field games. Zbl 1486.35134
Cirant, Marco; Goffi, Alessandro
12
2021
Linear stability analysis of the homogeneous Couette flow in a 2D isentropic compressible fluid. Zbl 1483.35157
Antonelli, Paolo; Dolce, Michele; Marcati, Pierangelo
11
2021
Incompressible Euler limit from Boltzmann equation with diffuse boundary condition for analytic data. Zbl 1490.35274
Jang, Juhi; Kim, Chanwoo
10
2021
Coordinates at small energy and refined profiles for the nonlinear Schrödinger equation. Zbl 1490.35405
Cuccagna, Scipio; Maeda, Masaya
10
2021
Global solution for massive Maxwell-Klein-Gordon equations with large Maxwell field. Zbl 1469.35033
Fang, Allen; Wang, Qian; Yang, Shiwu
9
2021
Global well-posedness for the fifth-order KdV equation in \(H^{-1}(\mathbb{R})\). Zbl 1493.35089
Bringmann, Bjoern; Killip, Rowan; Visan, Monica
9
2021
On echo chains in Landau damping: traveling wave-like solutions and Gevrey 3 as a linear stability threshold. Zbl 1469.35066
Zillinger, Christian
8
2021
Stability of solitary waves for the modified Camassa-Holm equation. Zbl 1483.35164
Li, Ji; Liu, Yue
8
2021
Stability of vacuum for the Boltzmann equation with moderately soft potentials. Zbl 1487.35273
Chaturvedi, Sanchit
6
2021
Outgoing solutions via Gevrey-2 properties. Zbl 1478.34093
Galkowski, Jeffrey; Zworski, Maciej
5
2021
Stability of transonic contact discontinuity for two-dimensional steady compressible Euler flows in a finitely long nozzle. Zbl 1490.35271
Huang, Feimin; Kuang, Jie; Wang, Dehua; Xiang, Wei
4
2021
Self-intersecting interfaces for stationary solutions of the two-fluid Euler equations. Zbl 1473.35420
Córdoba, Diego; Enciso, Alberto; Grubic, Nastasia
3
2021
Variational approach to regularity of optimal transport maps: general cost functions. Zbl 1496.49025
Otto, Felix; Prod’homme, Maxime; Ried, Tobias
3
2021
Euler equations on general planar domains. Zbl 1490.35270
Han, Zonglin; Zlatoš, Andrej
3
2021
Asymptotic decay for defocusing semilinear wave equations in \(\mathbb{R}^{1+1} \). Zbl 1469.35044
Wei, Dongyi; Yang, Shiwu
2
2021
Solvability of a class of singular fourth order equations of Monge-Ampère type. Zbl 1486.35176
Le, Nam Q.; Zhou, Bin
2
2021
Estimate on the dimension of the singular set of the supercritical surface quasigeostrophic equation. Zbl 1473.35578
Colombo, Maria; Haffter, Silja
1
2021
Weak solutions of ideal MHD which do not conserve magnetic helicity. Zbl 1462.35282
Beekie, Rajendra; Buckmaster, Tristan; Vicol, Vlad
32
2020
Finite-time singularity formation for strong solutions to the Boussinesq system. Zbl 1462.35287
Elgindi, Tarek M.; Jeong, In-Jee
28
2020
Rational normal forms and stability of small solutions to nonlinear Schrödinger equations. Zbl 1475.37080
Bernier, Joackim; Faou, Erwan; Grébert, Benoît
19
2020
Evolution of polygonal lines by the binormal flow. Zbl 1462.35279
Banica, Valeria; Vega, Luis
17
2020
Stability of Minkowski space and polyhomogeneity of the metric. Zbl 1462.35389
Hintz, Peter; Vasy, András
15
2020
A type II blowup for the six dimensional energy critical heat equation. Zbl 1469.35056
Harada, Junichi
11
2020
The linear stability of Reissner-Nordström spacetime for small charge. Zbl 1462.35388
Giorgi, Elena
10
2020
On convergence of approximate solutions to the compressible Euler system. Zbl 1448.35375
Feireisl, Eduard; Hofmanová, Martina
8
2020
Low regularity solutions for gravity water waves II: the 2D case. Zbl 1462.35275
Ai, Albert
7
2020
Estimates near the boundary for critical SQG. Zbl 1439.35393
Constantin, Peter; Ignatova, Mihaela
5
2020
Emergence of apparent horizon in gravitational collapse. Zbl 1448.35506
An, Xinliang
4
2020
Nonlinear scalar perturbations of extremal Reissner-Nordström spacetimes. Zbl 1448.35503
Angelopoulos, Y.; Aretakis, S.; Gajic, D.
3
2020
Global well-posedness and large time asymptotic behavior of classical solutions to the compressible Navier-Stokes equations with vacuum. Zbl 1428.35300
Li, Jing; Xin, Zhouping
82
2019
Boundedness and decay for the Teukolsky equation on Kerr spacetimes. I: The case \(|a|\ll M\). Zbl 1428.35585
Dafermos, Mihalis; Holzegel, Gustav; Rodnianski, Igor
56
2019
Well-posedness of the Prandtl equations without any structural assumption. Zbl 1428.35355
Dietert, Helge; Gérard-Varet, David
55
2019
Linear inviscid damping and vorticity depletion for shear flows. Zbl 1428.35336
Wei, Dongyi; Zhang, Zhifei; Zhao, Weiren
45
2019
Vortex axisymmetrization, inviscid damping, and vorticity depletion in the linearized 2D Euler equations. Zbl 1428.35321
Bedrossian, Jacob; Coti Zelati, Michele; Vicol, Vlad
42
2019
Finite-time singularity formation for strong solutions to the axi-symmetric \(3D\) Euler equations. Zbl 1436.35055
Elgindi, Tarek M.; Jeong, In-Jee
36
2019
\(L^\infty\) instability of Prandtl layers. Zbl 1436.35037
Grenier, Emmanuel; Nguyen, Toan T.
36
2019
On pseudospectral bound for non-selfadjoint operators and its application to stability of Kolmogorov flows. Zbl 1439.35370
Ibrahim, Slim; Maekawa, Yasunori; Masmoudi, Nader
34
2019
Strong cosmic censorship in spherical symmetry for two-ended asymptotically flat initial data II: the exterior of the Black Hole region. Zbl 1428.35588
Luk, Jonathan; Oh, Sung-Jin
27
2019
Loss of regularity for the continuity equation with non-Lipschitz velocity field. Zbl 1422.76078
Alberti, Giovanni; Crippa, Gianluca; Mazzucato, Anna L.
24
2019
Sharp asymptotics of the first exit point density. Zbl 1431.60087
Gesù, Giacomo Di; Lelièvre, Tony; Peutrec, Dorian Le; Nectoux, Boris
21
2019
The linear stability of the Schwarzschild solution to gravitational perturbations in the generalised wave gauge. Zbl 1436.35038
Johnson, Thomas William
20
2019
Stability of vacuum for the Landau equation with moderately soft potentials. Zbl 1423.35069
Luk, Jonathan
18
2019
Splash singularities for the free boundary Navier-Stokes equations. Zbl 1428.35275
Castro, Angel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco; Gómez-Serrano, Javier
12
2019
Controllability of the Navier-Stokes equation in a rectangle with a little help of a distributed phantom force. Zbl 1439.35367
Coron, Jean-Michel; Marbach, Frédéric; Sueur, Franck; Zhang, Ping
11
2019
Nonlinear stability for the Maxwell-Born-Infeld system on a Schwarzschild background. Zbl 1436.35296
Pasqualotto, Federico
4
2019
Smooth local solutions to degenerate hyperbolic Monge-Ampère equations. Zbl 1423.35254
Chen, Tiancong
3
2019
Global well-posedness for the massive Maxwell-Klein-Gordon equation with small critical Sobolev data. Zbl 1423.35246
Gavrus, Cristian
3
2019
Conditional stable soliton resolution for a semi-linear Skyrme equation. Zbl 1473.35359
Lawrie, Andrew; Rodriguez, Casey
1
2019
On global dynamics of three dimensional magnetohydrodynamics: nonlinear stability of Alfvén waves. Zbl 1398.35170
He, Ling-Bing; Xu, Li; Yu, Pin
73
2018
Stationary solutions to the Boltzmann equation in the hydrodynamic limit. Zbl 1403.35195
Esposito, Raffaele; Guo, Yan; Kim, Chanwoo; Marra, Rossana
56
2018
Non-uniqueness for the transport equation with Sobolev vector fields. Zbl 1411.35066
Modena, Stefano; Székelyhidi, László jun.
54
2018
...and 53 more Documents
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Cited by 1,774 Authors

32 Zhang, Zhifei
23 Bedrossian, Jacob
22 Jeong, In-Jee
21 Masmoudi, Nader
20 Wu, Jiahong
17 Vicol, Vlad C.
17 Wei, Dongyi
16 Elgindi, Tarek Mohamed
16 Gajic, Dejan
15 Tataru, Daniel
15 Zhang, Ping
14 De Lellis, Camillo
14 Zhong, Xin
13 Aretakis, Stefanos
13 Coti Zelati, Michele
13 Duan, Renjun
13 Hmidi, Taoufik
13 Iyer, Sameer
13 Kim, Chanwoo
13 Luk, Jonathan
13 Oh, Sung-Jin
12 Cordoba, Diego
12 Hintz, Peter
12 Paicu, Marius
12 Speck, Jared
12 Székelyhidi, László jun.
12 Zhao, Weiren
12 Zillinger, Christian
11 Alazard, Thomas
11 Ding, Shijin
11 Guo, Yan
11 Yang, Tong
10 Angelopoulos, Yannis
10 Chae, Dongho
10 Colombo, Maria
10 Drouot, Alexis
10 Ionescu, Alexandru D.
10 Nguyen, Hoai-Minh
10 Picard, Sebastien
9 Buckmaster, Tristan
9 Castro, Ángel
9 Drivas, Theodore Dimitrios
9 Gallagher, Isabelle
9 Gancedo, Francisco
9 Gómez-Serrano, Javier
9 Jia, Hao
9 Li, Weixi
9 Lindblad, Hans
9 Nguyen, Toan Trong
9 Rodnianski, Igor
9 Shlapentokh-Rothman, Yakov
9 Tao, Tao
9 Weinstein, Michael I.
9 Zhu, Ning
8 Constantin, Peter
8 Crippa, Gianluca
8 Czimek, Stefan
8 Fajman, David
8 Garcia, Claudia I.
8 Luo, Xiaoyutao
8 Ma, Siyuan
8 Rüland, Angkana
8 Saint-Raymond, Laure
8 Squassina, Marco
8 Vega, Luis
8 Xin, Zhouping
8 Zhang, Liqun
7 Bal, Guillaume
7 Bodineau, Thierry
7 Bruè, Elia
7 Choi, Kyudong
7 Chu, Jianchun
7 Costa, João Lopes
7 Dolce, Michele
7 Feireisl, Eduard
7 Giorgi, Elena Edi
7 Ibrahim, Slim
7 Li, Jinkai
7 Lin, Hongxia
7 Lin, Zhiwu
7 Maeda, Masaya
7 Maekawa, Yasunori
7 Mateu, Joan
7 Modena, Stefano
7 Simonella, Sergio
6 Alonso-Orán, Diego
6 An, Xinliang
6 Banica, Valeria
6 Bernier, Joackim
6 Bianchini, Roberta
6 Brézis, Haïm
6 Cao, Daomin
6 Chen, Hongxu
6 Chen, Qi
6 Cheskidov, Alexey
6 Cuccagna, Scipio
6 Dai, Mimi
6 De Rosa, Luigi
6 Duerinckx, Mitia
6 Faraco, Daniel
...and 1,674 more Authors
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Cited in 224 Journals

104 SIAM Journal on Mathematical Analysis
99 Communications in Mathematical Physics
97 Archive for Rational Mechanics and Analysis
79 Journal of Differential Equations
67 Annals of PDE
57 Advances in Mathematics
49 Journal of Functional Analysis
46 Nonlinearity
39 Annales Henri Poincaré
37 Calculus of Variations and Partial Differential Equations
37 Journal of Mathematical Fluid Mechanics
36 Analysis & PDE
35 Classical and Quantum Gravity
35 Communications on Pure and Applied Mathematics
33 Journal de Mathématiques Pures et Appliquées. Neuvième Série
32 Journal of Mathematical Physics
24 Discrete and Continuous Dynamical Systems
23 Journal of Nonlinear Science
21 Journal of Statistical Physics
20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
20 Communications in Partial Differential Equations
19 Kinetic and Related Models
18 Science China. Mathematics
17 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
15 Inventiones Mathematicae
15 Mathematische Annalen
15 Journal of Hyperbolic Differential Equations
15 Séminaire Laurent Schwartz. EDP et Applications
14 ZAMP. Zeitschrift für angewandte Mathematik und Physik
14 Transactions of the American Mathematical Society
13 Journal of Mathematical Analysis and Applications
13 Oberwolfach Reports
12 The Journal of Geometric Analysis
12 Journal of High Energy Physics
12 Nonlinear Analysis. Real World Applications
12 Journal of Evolution Equations
11 Discrete and Continuous Dynamical Systems. Series B
10 Duke Mathematical Journal
10 Quarterly of Applied Mathematics
10 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
10 Journal of the European Mathematical Society (JEMS)
10 Acta Mathematica Scientia. Series B. (English Edition)
10 Pure and Applied Analysis
9 Mathematical Methods in the Applied Sciences
9 Memoirs of the American Mathematical Society
9 Communications on Pure and Applied Analysis
8 Proceedings of the American Mathematical Society
8 Studies in Applied Mathematics
8 Physica D
8 Bulletin of the American Mathematical Society. New Series
7 General Relativity and Gravitation
7 American Journal of Mathematics
7 Journal of Differential Geometry
7 Acta Applicandae Mathematicae
7 Asymptotic Analysis
7 NoDEA. Nonlinear Differential Equations and Applications
7 Vietnam Journal of Mathematics
7 Annals of Mathematics. Second Series
6 Indiana University Mathematics Journal
6 Journal de l’École Polytechnique – Mathématiques
6 Peking Mathematical Journal
5 Journal of Fluid Mechanics
5 Journal of the London Mathematical Society. Second Series
5 Chinese Annals of Mathematics. Series B
5 Probability Theory and Related Fields
5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
5 Communications in Contemporary Mathematics
5 Forum of Mathematics, Sigma
5 Probability and Mathematical Physics
5 Communications in Mathematical Analysis and Applications
4 Annales de l’Institut Fourier
4 Applied Mathematics and Optimization
4 Journal für die Reine und Angewandte Mathematik
4 Applied Mathematics Letters
4 Forum Mathematicum
4 SIAM Journal on Applied Mathematics
4 Stochastic Processes and their Applications
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Complex Variables and Elliptic Equations
4 Forum of Mathematics, Pi
4 Journal of Elliptic and Parabolic Equations
4 Tunisian Journal of Mathematics
4 Annales Henri Lebesgue
4 Water Waves
3 Letters in Mathematical Physics
3 Physics Letters. A
3 Reviews in Mathematical Physics
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Bulletin of the London Mathematical Society
3 Mathematische Nachrichten
3 Mathematische Zeitschrift
3 SIAM Journal on Control and Optimization
3 SIAM Journal on Numerical Analysis
3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
3 The Annals of Applied Probability
3 Geometric and Functional Analysis. GAFA
3 Journal of Dynamics and Differential Equations
3 Geometry & Topology
3 Regular and Chaotic Dynamics
3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
...and 124 more Journals
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Cited in 51 Fields

1,516 Partial differential equations (35-XX)
807 Fluid mechanics (76-XX)
233 Relativity and gravitational theory (83-XX)
169 Statistical mechanics, structure of matter (82-XX)
144 Differential geometry (53-XX)
90 Quantum theory (81-XX)
77 Dynamical systems and ergodic theory (37-XX)
69 Global analysis, analysis on manifolds (58-XX)
66 Probability theory and stochastic processes (60-XX)
65 Real functions (26-XX)
61 Geophysics (86-XX)
56 Operator theory (47-XX)
51 Several complex variables and analytic spaces (32-XX)
43 Optics, electromagnetic theory (78-XX)
39 Numerical analysis (65-XX)
38 Functional analysis (46-XX)
38 Calculus of variations and optimal control; optimization (49-XX)
33 Harmonic analysis on Euclidean spaces (42-XX)
30 Mechanics of deformable solids (74-XX)
26 Systems theory; control (93-XX)
22 Ordinary differential equations (34-XX)
20 Classical thermodynamics, heat transfer (80-XX)
19 Mechanics of particles and systems (70-XX)
17 Measure and integration (28-XX)
15 Astronomy and astrophysics (85-XX)
15 Biology and other natural sciences (92-XX)
14 General and overarching topics; collections (00-XX)
14 Algebraic geometry (14-XX)
14 Integral equations (45-XX)
10 Functions of a complex variable (30-XX)
6 Topological groups, Lie groups (22-XX)
6 Manifolds and cell complexes (57-XX)
5 Special functions (33-XX)
5 Integral transforms, operational calculus (44-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Approximations and expansions (41-XX)
4 Geometry (51-XX)
4 Computer science (68-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Potential theory (31-XX)
3 Convex and discrete geometry (52-XX)
3 Information and communication theory, circuits (94-XX)
2 Combinatorics (05-XX)
2 Nonassociative rings and algebras (17-XX)
2 Difference and functional equations (39-XX)
2 General topology (54-XX)
1 History and biography (01-XX)
1 \(K\)-theory (19-XX)
1 Abstract harmonic analysis (43-XX)
1 Statistics (62-XX)
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