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Zheng, Yuxi

Co-Author Distance
Author ID: zheng.yuxi Recent zbMATH articles by "Zheng, Yuxi"
Published as: Zheng, Yuxi; Zheng, Y.
Homepage: https://www.math.psu.edu/yzheng/
Documents Indexed: 81 Publications since 1983, including 1 Book and 1 Additional arXiv Preprint
2 Contributions as Editor
Co-Authors: 40 Co-Authors with 62 Joint Publications
1,659 Co-Co-Authors
all top 5

Co-Authors

16 single-authored
17 Zhang, Ping
10 Zhang, Tong
7 Li, Jiequan
6 Sheng, Wancheng
4 Hunter, John K.
3 Bressan, Alberto
3 Glassey, Robert Thomas
3 Ji, Xiaomei
3 Majda, Andrew J.
3 Zhang, Qinglong
3 Zhang, Tianyou
2 Chao, Xiuli
2 Chen, Geng
2 Lopes Filho, Milton da Costa
2 Majda, George
2 Nussenzveig Lopes, Helena Judith
2 Song, Kyungwoo
2 Wang, Qin
1 Acosta, Uwe Hernandez
1 Duan, Ben
1 Glimm, James G.
1 Hecht, Michael
1 Huang, Jingchi
1 Lai, Geng
1 Lei, Zhen
1 Lewicka, Marta
1 Li, Mingjie
1 Li, Xiaolin
1 Lowengrub, John Samuel
1 Luo, Zhen
1 Mauser, Norbert Julius
1 Robinson, Zachary
1 Schaeffer, Jack W.
1 Shu, Chi-Wang
1 Tan, Dechun
1 Veettil, Sachin Krishnan Thekke
1 Wang, Dehua
1 Wicaksono, Damar
1 Yang, Zhicheng
1 Zhang, Peng
all top 5

Serials

8 Archive for Rational Mechanics and Analysis
6 Communications in Mathematical Physics
5 Journal of Differential Equations
4 Journal of Mathematical Analysis and Applications
4 Indiana University Mathematics Journal
4 Discrete and Continuous Dynamical Systems
3 Communications on Pure and Applied Mathematics
3 Physica D
3 SIAM Journal on Mathematical Analysis
2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
2 Journal of Nanjing University. Natural Sciences
2 Chinese Annals of Mathematics. Series B
2 Acta Mathematicae Applicatae Sinica. English Series
2 Communications in Partial Differential Equations
2 Methods and Applications of Analysis
2 Probability in the Engineering and Informational Sciences
1 International Journal of Plasticity
1 Journal of Mathematical Physics
1 Transactions of the American Mathematical Society
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Asymptotic Analysis
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 SIAM Journal on Applied Mathematics
1 SIAM Journal on Scientific Computing
1 Acta Mathematica Sinica. English Series
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Communications on Pure and Applied Analysis
1 Communications in Mathematical Sciences
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Communications in Computational Physics
1 Scientia Sinica. Mathematica
1 AIMS Series on Applied Mathematics
1 Progress in Nonlinear Differential Equations and Their Applications
1 Communications on Applied Mathematics and Computation
all top 5

Fields

74 Partial differential equations (35-XX)
35 Fluid mechanics (76-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Numerical analysis (65-XX)
2 General and overarching topics; collections (00-XX)
2 History and biography (01-XX)
2 Mathematical logic and foundations (03-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Functional analysis (46-XX)
2 Probability theory and stochastic processes (60-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Statistics (62-XX)
1 Mechanics of deformable solids (74-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Quantum theory (81-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Biology and other natural sciences (92-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

70 Publications have been cited 2,357 times in 916 Documents Cited by ▼ Year ▼
Delta-shock waves as limits of vanishing viscosity for hyperbolic systems of conservation laws. Zbl 0804.35077
Tan, Dechun; Zhang, Tong; Zheng, Yuxi
193
1994
Conjecture on the structure of solutions of the Riemann problem for two- dimensional gas dynamics systems. Zbl 0726.35081
Zhang, Tong; Zheng, Yuxi
140
1990
Systems of conservation laws. Two-dimensional Riemann problems. Zbl 0971.35002
Zheng, Yuxi
122
2001
On a completely integrable nonlinear hyperbolic variational equation. Zbl 0900.35387
Hunter, John K.; Zheng, Yuxi
113
1994
On a nonlinear hyperbolic variational equation: I. Global existence of weak solutions. II: The zero-viscosity and dispersion limits. Zbl 0834.35085
Hunter, John K.; Zheng, Yuxi
104
1995
Interaction of rarefaction waves of the two-dimensional self-similar Euler equations. Zbl 1170.76021
Li, Jiequan; Zheng, Yuxi
99
2009
Simple waves and a characteristic decomposition of the two-dimensional compressible Euler equations. Zbl 1113.76080
Li, Jiequan; Zhang, Tong; Zheng, Yuxi
84
2006
Interaction of four rarefaction waves in the bi-symmetric class of the two-dimensional Euler equations. Zbl 1193.35140
Li, Jiequan; Zheng, Yuxi
73
2010
Characteristic decompositions and interactions of rarefaction waves of 2-D Euler equations. Zbl 1209.35079
Li, Jiequan; Yang, Zhicheng; Zheng, Yuxi
65
2011
Semi-hyperbolic patches of solutions to the two-dimensional Euler equations. Zbl 1270.76064
Li, Mingjie; Zheng, Yuxi
63
2011
Two-dimensional regular shock reflection for the pressure gradient system of conservation laws. Zbl 1106.35034
Zheng, Yuxi
61
2006
Conservative solutions to a nonlinear variational wave equation. Zbl 1117.35047
Bressan, Alberto; Zheng, Yuxi
56
2006
Singularities of a variational wave equation. Zbl 0879.35107
Glassey, Robert T.; Hunter, John K.; Zheng, Yuxi
52
1996
The interaction of rarefaction waves of the two-dimensional Euler equations. Zbl 1203.35167
Chen, Xiao; Zheng, Yuxi
52
2010
Weak solutions to a nonlinear variational wave equation. Zbl 1029.35173
Zhang, Ping; Zheng, Yuxi
49
2003
Existence and uniqueness of solutions of an asymptotic equation arising from a variational wave equation with general data. Zbl 0982.35062
Zhang, Ping; Zheng, Yuxi
47
2000
Semi-hyperbolic patches of solutions of the pressure gradient system. Zbl 1178.35254
Song, Kyungwoo; Zheng, Yuxi
45
2009
Transonic shock formation in a rarefaction Riemann problem for the 2D compressible Euler equations. Zbl 1191.35178
Glimm, James; Ji, Xiaomei; Li, Jiequan; Li, Xiaolin; Zhang, Peng; Zhang, Tong; Zheng, Yuxi
44
2008
Weak solutions to a nonlinear variational wave equation with general data. Zbl 1082.35129
Zhang, Ping; Zheng, Yuxi
41
2005
Simple waves and pressure delta waves for a Chaplygin gas in two-dimensions. Zbl 1222.35121
Lai, Geng; Sheng, Wancheng; Zheng, Yuxi
41
2011
Asymptotic variational wave equations. Zbl 1168.35026
Bressan, Alberto; Zhang, Ping; Zheng, Yuxi
35
2007
Existence of solutions to the transonic pressure-gradient equations of the compressible Euler equations in elliptic regions. Zbl 0899.35080
Zheng, Yuxi
35
1997
Sonic-supersonic solutions for the steady Euler equations. Zbl 1320.35245
Zhang, Tianyou; Zheng, Yuxi
34
2014
On oscillations of an asymptotic equation of a nonlinear variational wave equation. Zbl 0935.35031
Zhang, Ping; Zheng, Yuxi
34
1998
Rarefactive solutions to a nonlinear variational wave equation of liquid crystals. Zbl 0989.35112
Zhang, Ping; Zheng, Yuxi
33
2001
Two-dimensional Riemann problem for a single conservation law. Zbl 0704.35095
Zhang, Tong; Zheng, Yuxi
33
1989
On the existence and uniqueness of solutions to an asymptotic equation of a variational wave equation. Zbl 0930.35142
Zhang, Ping; Zheng, Yuxi
32
1999
Conservative solutions to a system of variational wave equations of nematic liquid crystals. Zbl 1304.76008
Zhang, Ping; Zheng, Yuxi
31
2010
Existence of global weak solutions to one-component Vlasov-Poisson and Fokker-Planck-Poisson systems in one space dimension with measures as initial data. Zbl 0809.35088
Zheng, Yuxi; Majda, Andrew
28
1994
Concentrations in the one-dimensional Vlasov-Poisson equations. I: Temporal development and non-unique weak solutions in the single component case. Zbl 0813.35091
Majda, Andrew J.; Majda, George; Zheng, Yuxi
28
1994
Two-dimensional Riemann problems: from scalar conservation laws to compressible Euler equations. Zbl 1212.35302
Li, Jiequan; Sheng, Wancheng; Zhang, Tong; Zheng, Yuxi
28
2009
A global solution to a two-dimensional Riemann problem involving shocks as free boundaries. Zbl 1079.35068
Zheng, Yuxi
27
2003
The regularity of semihyperbolic patches near sonic lines for the 2-D Euler system in gas dynamics. Zbl 1325.35153
Song, Kyungwoo; Wang, Qin; Zheng, Yuxi
26
2015
Transient analysis of immigration birth-death processes with total catastrophes. Zbl 1019.60079
Chao, Xiuli; Zheng, Yuxi
25
2003
Numerical evidence of nonuniqueness in the evolution of vortex sheets. Zbl 1124.76010
Lopes Filho, Milton C.; Lowengrub, John; Nussenzveig Lopes, Helena J.; Zheng, Yuxi
24
2006
Energy conservative solutions to a one-dimensional full variational wave system. Zbl 1236.35127
Zhang, Ping; Zheng, Yuxi
22
2012
The limit from the Schrödinger-Poisson to the Vlasov-Poisson equations with general data in one dimension. Zbl 1032.81011
Zhang, Ping; Zheng, Yuxi; Mauser, Norbert J.
21
2002
The regularity of semi-hyperbolic patches at sonic lines for the pressure gradient equation in gas dynamics. Zbl 1336.35099
Wang, Qin; Zheng, Yuxi
19
2014
Exact spiral solutions of the two-dimensional Euler equations. Zbl 0948.35104
Zhang, Tong; Zheng, Yuxi
19
1997
Singularities and oscillations in a nonlinear variational wave equation. Zbl 0958.35084
Glassey, Robert T.; Hunter, John K.; Zheng, Yuxi
19
1997
Energy conservative solutions to a nonlinear wave system of nematic liquid crystals. Zbl 1264.35139
Chen, Geng; Zhang, Ping; Zheng, Yuxi
18
2013
Absorption of characteristics by sonic curve of the two-dimensional Euler equations. Zbl 1154.35402
Zheng, Yuxi
18
2009
Singular and rarefactive solutions to a nonlinear variational wave equation. Zbl 0980.35137
Zhang, Ping; Zheng, Yuxi
18
2001
Axisymmetric solutions of the Euler equations for polytropic gases. Zbl 0909.76087
Zhang, Tong; Zheng, Yuxi
18
1998
A complete global solution to the pressure gradient equation. Zbl 1116.35102
Lei, Zhen; Zheng, Yuxi
17
2007
Riemann problem for gasdynamic combustion. Zbl 0688.35055
Zhang, Tong; Zheng, Yuxi
16
1989
Local existence of classical solutions to shallow water equations with Cauchy data containing vacuum. Zbl 1387.35487
Duan, Ben; Luo, Zhen; Zheng, Yuxi
13
2012
Singularity and existence for a wave system of nematic liquid crystals. Zbl 1254.35186
Chen, Geng; Zheng, Yuxi
13
2013
Steady states of the Vlasov-Poisson-Fokker-Planck system. Zbl 0867.35026
Glassey, Robert; Schaeffer, Jack; Zheng, Yuxi
13
1996
The structure of solutions near a sonic line in gas dynamics via the pressure gradient equation. Zbl 1350.35160
Zhang, Tianyou; Zheng, Yuxi
11
2016
Regularity of weak solutions to a two-dimensional modified Dirac-Klein- Gordon system of equations. Zbl 0765.35046
Zheng, Yuxi
11
1993
On the global weak solutions to a variational wave equation. Zbl 1085.35111
Zhang, Ping; Zheng, Yuxi
11
2005
On the second-order asymptotic equation of a variational wave equation. Zbl 1006.35005
Zhang, Ping; Zheng, Yuxi
11
2002
The Riemann problem for a blood flow model in arteries. Zbl 1476.35139
Sheng, Wancheng; Zhang, Qinglong; Zheng, Yuxi
11
2020
Concentrations in the one-dimensional Vlasov-Poisson equations. II: Screening and the necessity for measure-valued solutions in the two component case. Zbl 0839.35104
Majda, Andrew J.; Majda, George; Zheng, Yuxi
9
1994
Systems of conservation laws with incomplete sets of eigenvectors everywhere. Zbl 0929.35089
Zheng, Yuxi
8
1998
Concentration-cancellation for the velocity fields in two-dimensional incompressible fluid flows. Zbl 0850.76510
Zheng, Yuxi
7
1991
Effect of solutes on dislocation motion – a phase-field simulation. Zbl 1254.74002
Hu, S. Y.; Li, Y. L.; Zheng, Y. X.; Chen, L. Q.
6
2004
Shock reflection for the Euler system. Zbl 1102.35363
Zheng, Yuxi
6
2006
A direct Eulerian GRP scheme for a blood flow model in arteries. Zbl 1486.92004
Sheng, Wancheng; Zhang, Qinglong; Zheng, Yuxi
5
2021
Characteristic decouplings and interactions of rarefaction waves of 2D Euler equations. Zbl 1306.35091
Ji, Xiaomei; Zheng, Yuxi
4
2013
Transinet analysis of linear birth-death processes with immigration and emigration. Zbl 1058.60069
Zheng, Yuxi; Chao, Xiuli; Ji, Xiaomei
4
2004
Existence of classical sonic-supersonic solutions for the pseudo steady Euler equations. Zbl 1499.35491
Zhang, Tianyou; Zheng, Yuxi
4
2017
Convergence of the vanishing viscosity approximation for superpositions of confined eddies. Zbl 0942.76012
Lopes Filho, M. C.; Nussenzveig Lopes, H. J.; Zheng, Yuxi
3
1999
The pressure gradient system. Zbl 1227.35208
Zheng, Yuxi; Robinson, Zachary
3
2010
The Young measure method for a nonlinear variational wave equation. Zbl 1032.35141
Zhang, Ping; Zheng, Yuxi
2
2001
Two-dimensional Riemann problems for the compressible Euler system. Zbl 1180.35356
Zheng, Yuxi
2
2009
Concentration in sequences of solutions to the nonlinear Klein-Gordon equation. Zbl 0725.35102
Zheng, Yuxi
2
1991
On the global existence of weak solutions to a nonlinear variational wave equation. Zbl 1068.35074
Zhang, Ping; Zheng, Yuxi
1
2004
Interaction of the elementary waves for shallow water equations with discontinuous topography. Zbl 1479.35560
Zhang, Qinglong; Sheng, Wancheng; Zheng, Yuxi
1
2021
A direct Eulerian GRP scheme for a blood flow model in arteries. Zbl 1486.92004
Sheng, Wancheng; Zhang, Qinglong; Zheng, Yuxi
5
2021
Interaction of the elementary waves for shallow water equations with discontinuous topography. Zbl 1479.35560
Zhang, Qinglong; Sheng, Wancheng; Zheng, Yuxi
1
2021
The Riemann problem for a blood flow model in arteries. Zbl 1476.35139
Sheng, Wancheng; Zhang, Qinglong; Zheng, Yuxi
11
2020
Existence of classical sonic-supersonic solutions for the pseudo steady Euler equations. Zbl 1499.35491
Zhang, Tianyou; Zheng, Yuxi
4
2017
The structure of solutions near a sonic line in gas dynamics via the pressure gradient equation. Zbl 1350.35160
Zhang, Tianyou; Zheng, Yuxi
11
2016
The regularity of semihyperbolic patches near sonic lines for the 2-D Euler system in gas dynamics. Zbl 1325.35153
Song, Kyungwoo; Wang, Qin; Zheng, Yuxi
26
2015
Sonic-supersonic solutions for the steady Euler equations. Zbl 1320.35245
Zhang, Tianyou; Zheng, Yuxi
34
2014
The regularity of semi-hyperbolic patches at sonic lines for the pressure gradient equation in gas dynamics. Zbl 1336.35099
Wang, Qin; Zheng, Yuxi
19
2014
Energy conservative solutions to a nonlinear wave system of nematic liquid crystals. Zbl 1264.35139
Chen, Geng; Zhang, Ping; Zheng, Yuxi
18
2013
Singularity and existence for a wave system of nematic liquid crystals. Zbl 1254.35186
Chen, Geng; Zheng, Yuxi
13
2013
Characteristic decouplings and interactions of rarefaction waves of 2D Euler equations. Zbl 1306.35091
Ji, Xiaomei; Zheng, Yuxi
4
2013
Energy conservative solutions to a one-dimensional full variational wave system. Zbl 1236.35127
Zhang, Ping; Zheng, Yuxi
22
2012
Local existence of classical solutions to shallow water equations with Cauchy data containing vacuum. Zbl 1387.35487
Duan, Ben; Luo, Zhen; Zheng, Yuxi
13
2012
Characteristic decompositions and interactions of rarefaction waves of 2-D Euler equations. Zbl 1209.35079
Li, Jiequan; Yang, Zhicheng; Zheng, Yuxi
65
2011
Semi-hyperbolic patches of solutions to the two-dimensional Euler equations. Zbl 1270.76064
Li, Mingjie; Zheng, Yuxi
63
2011
Simple waves and pressure delta waves for a Chaplygin gas in two-dimensions. Zbl 1222.35121
Lai, Geng; Sheng, Wancheng; Zheng, Yuxi
41
2011
Interaction of four rarefaction waves in the bi-symmetric class of the two-dimensional Euler equations. Zbl 1193.35140
Li, Jiequan; Zheng, Yuxi
73
2010
The interaction of rarefaction waves of the two-dimensional Euler equations. Zbl 1203.35167
Chen, Xiao; Zheng, Yuxi
52
2010
Conservative solutions to a system of variational wave equations of nematic liquid crystals. Zbl 1304.76008
Zhang, Ping; Zheng, Yuxi
31
2010
The pressure gradient system. Zbl 1227.35208
Zheng, Yuxi; Robinson, Zachary
3
2010
Interaction of rarefaction waves of the two-dimensional self-similar Euler equations. Zbl 1170.76021
Li, Jiequan; Zheng, Yuxi
99
2009
Semi-hyperbolic patches of solutions of the pressure gradient system. Zbl 1178.35254
Song, Kyungwoo; Zheng, Yuxi
45
2009
Two-dimensional Riemann problems: from scalar conservation laws to compressible Euler equations. Zbl 1212.35302
Li, Jiequan; Sheng, Wancheng; Zhang, Tong; Zheng, Yuxi
28
2009
Absorption of characteristics by sonic curve of the two-dimensional Euler equations. Zbl 1154.35402
Zheng, Yuxi
18
2009
Two-dimensional Riemann problems for the compressible Euler system. Zbl 1180.35356
Zheng, Yuxi
2
2009
Transonic shock formation in a rarefaction Riemann problem for the 2D compressible Euler equations. Zbl 1191.35178
Glimm, James; Ji, Xiaomei; Li, Jiequan; Li, Xiaolin; Zhang, Peng; Zhang, Tong; Zheng, Yuxi
44
2008
Asymptotic variational wave equations. Zbl 1168.35026
Bressan, Alberto; Zhang, Ping; Zheng, Yuxi
35
2007
A complete global solution to the pressure gradient equation. Zbl 1116.35102
Lei, Zhen; Zheng, Yuxi
17
2007
Simple waves and a characteristic decomposition of the two-dimensional compressible Euler equations. Zbl 1113.76080
Li, Jiequan; Zhang, Tong; Zheng, Yuxi
84
2006
Two-dimensional regular shock reflection for the pressure gradient system of conservation laws. Zbl 1106.35034
Zheng, Yuxi
61
2006
Conservative solutions to a nonlinear variational wave equation. Zbl 1117.35047
Bressan, Alberto; Zheng, Yuxi
56
2006
Numerical evidence of nonuniqueness in the evolution of vortex sheets. Zbl 1124.76010
Lopes Filho, Milton C.; Lowengrub, John; Nussenzveig Lopes, Helena J.; Zheng, Yuxi
24
2006
Shock reflection for the Euler system. Zbl 1102.35363
Zheng, Yuxi
6
2006
Weak solutions to a nonlinear variational wave equation with general data. Zbl 1082.35129
Zhang, Ping; Zheng, Yuxi
41
2005
On the global weak solutions to a variational wave equation. Zbl 1085.35111
Zhang, Ping; Zheng, Yuxi
11
2005
Effect of solutes on dislocation motion – a phase-field simulation. Zbl 1254.74002
Hu, S. Y.; Li, Y. L.; Zheng, Y. X.; Chen, L. Q.
6
2004
Transinet analysis of linear birth-death processes with immigration and emigration. Zbl 1058.60069
Zheng, Yuxi; Chao, Xiuli; Ji, Xiaomei
4
2004
On the global existence of weak solutions to a nonlinear variational wave equation. Zbl 1068.35074
Zhang, Ping; Zheng, Yuxi
1
2004
Weak solutions to a nonlinear variational wave equation. Zbl 1029.35173
Zhang, Ping; Zheng, Yuxi
49
2003
A global solution to a two-dimensional Riemann problem involving shocks as free boundaries. Zbl 1079.35068
Zheng, Yuxi
27
2003
Transient analysis of immigration birth-death processes with total catastrophes. Zbl 1019.60079
Chao, Xiuli; Zheng, Yuxi
25
2003
The limit from the Schrödinger-Poisson to the Vlasov-Poisson equations with general data in one dimension. Zbl 1032.81011
Zhang, Ping; Zheng, Yuxi; Mauser, Norbert J.
21
2002
On the second-order asymptotic equation of a variational wave equation. Zbl 1006.35005
Zhang, Ping; Zheng, Yuxi
11
2002
Systems of conservation laws. Two-dimensional Riemann problems. Zbl 0971.35002
Zheng, Yuxi
122
2001
Rarefactive solutions to a nonlinear variational wave equation of liquid crystals. Zbl 0989.35112
Zhang, Ping; Zheng, Yuxi
33
2001
Singular and rarefactive solutions to a nonlinear variational wave equation. Zbl 0980.35137
Zhang, Ping; Zheng, Yuxi
18
2001
The Young measure method for a nonlinear variational wave equation. Zbl 1032.35141
Zhang, Ping; Zheng, Yuxi
2
2001
Existence and uniqueness of solutions of an asymptotic equation arising from a variational wave equation with general data. Zbl 0982.35062
Zhang, Ping; Zheng, Yuxi
47
2000
On the existence and uniqueness of solutions to an asymptotic equation of a variational wave equation. Zbl 0930.35142
Zhang, Ping; Zheng, Yuxi
32
1999
Convergence of the vanishing viscosity approximation for superpositions of confined eddies. Zbl 0942.76012
Lopes Filho, M. C.; Nussenzveig Lopes, H. J.; Zheng, Yuxi
3
1999
On oscillations of an asymptotic equation of a nonlinear variational wave equation. Zbl 0935.35031
Zhang, Ping; Zheng, Yuxi
34
1998
Axisymmetric solutions of the Euler equations for polytropic gases. Zbl 0909.76087
Zhang, Tong; Zheng, Yuxi
18
1998
Systems of conservation laws with incomplete sets of eigenvectors everywhere. Zbl 0929.35089
Zheng, Yuxi
8
1998
Existence of solutions to the transonic pressure-gradient equations of the compressible Euler equations in elliptic regions. Zbl 0899.35080
Zheng, Yuxi
35
1997
Exact spiral solutions of the two-dimensional Euler equations. Zbl 0948.35104
Zhang, Tong; Zheng, Yuxi
19
1997
Singularities and oscillations in a nonlinear variational wave equation. Zbl 0958.35084
Glassey, Robert T.; Hunter, John K.; Zheng, Yuxi
19
1997
Singularities of a variational wave equation. Zbl 0879.35107
Glassey, Robert T.; Hunter, John K.; Zheng, Yuxi
52
1996
Steady states of the Vlasov-Poisson-Fokker-Planck system. Zbl 0867.35026
Glassey, Robert; Schaeffer, Jack; Zheng, Yuxi
13
1996
On a nonlinear hyperbolic variational equation: I. Global existence of weak solutions. II: The zero-viscosity and dispersion limits. Zbl 0834.35085
Hunter, John K.; Zheng, Yuxi
104
1995
Delta-shock waves as limits of vanishing viscosity for hyperbolic systems of conservation laws. Zbl 0804.35077
Tan, Dechun; Zhang, Tong; Zheng, Yuxi
193
1994
On a completely integrable nonlinear hyperbolic variational equation. Zbl 0900.35387
Hunter, John K.; Zheng, Yuxi
113
1994
Existence of global weak solutions to one-component Vlasov-Poisson and Fokker-Planck-Poisson systems in one space dimension with measures as initial data. Zbl 0809.35088
Zheng, Yuxi; Majda, Andrew
28
1994
Concentrations in the one-dimensional Vlasov-Poisson equations. I: Temporal development and non-unique weak solutions in the single component case. Zbl 0813.35091
Majda, Andrew J.; Majda, George; Zheng, Yuxi
28
1994
Concentrations in the one-dimensional Vlasov-Poisson equations. II: Screening and the necessity for measure-valued solutions in the two component case. Zbl 0839.35104
Majda, Andrew J.; Majda, George; Zheng, Yuxi
9
1994
Regularity of weak solutions to a two-dimensional modified Dirac-Klein- Gordon system of equations. Zbl 0765.35046
Zheng, Yuxi
11
1993
Concentration-cancellation for the velocity fields in two-dimensional incompressible fluid flows. Zbl 0850.76510
Zheng, Yuxi
7
1991
Concentration in sequences of solutions to the nonlinear Klein-Gordon equation. Zbl 0725.35102
Zheng, Yuxi
2
1991
Conjecture on the structure of solutions of the Riemann problem for two- dimensional gas dynamics systems. Zbl 0726.35081
Zhang, Tong; Zheng, Yuxi
140
1990
Two-dimensional Riemann problem for a single conservation law. Zbl 0704.35095
Zhang, Tong; Zheng, Yuxi
33
1989
Riemann problem for gasdynamic combustion. Zbl 0688.35055
Zhang, Tong; Zheng, Yuxi
16
1989
all cited Publications top 5 cited Publications
all top 5

Cited by 885 Authors

44 Hu, Yanbo
42 Sheng, Wancheng
33 Yang, Hanchun
32 Lai, Geng
28 Zheng, Yuxi
26 Shen, Chun
24 Sun, Meina
20 Cheng, Hongjun
20 Guo, Lihui
18 Chen, Geng
17 Kim, Eun Heui
17 Yin, Zhaoyang
16 Li, Jiequan
15 Chen, Gui-Qiang G.
15 Zhang, Yu
14 Li, Shiwei
14 Sekhar, T. Raja
14 Zhang, Yanyan
12 Zhang, Ping
11 Bressan, Alberto
11 Pang, Yicheng
11 Yin, Gan
11 Yuen, Manwai
10 Song, Kyungwoo
10 Wang, Qin
10 Yin, Huicheng
9 Chen, Jianjun
9 Wang, Guodong
8 Chen, Shuxing
8 Elling, Volker W.
8 Grunert, Katrin
8 Kurganov, Alexander
8 Wang, Jinhuan
8 Xiang, Wei
8 Yang, Xiaozhou
7 Cao, Gaowei
7 Fan, Engui
7 Feldman, Mikhail
7 Holden, Helge
7 Sen, Anupam
7 Sharma, Vishnu Dutt
7 You, Shouke
7 Zhang, Tong
6 Barthwal, Rahul
6 Giorno, Virginia
6 Li, Shuangrong
6 Li, Tong
6 Liu, Hailiang
6 Nobile, Amelia G.
6 Qu, Aifang
6 Shen, Yannan
6 Wang, Zhen
6 Xin, Zhouping
6 Zhang, Qinglong
5 Bouchut, François
5 Cai, Hong
5 Carrillo de la Plata, José Antonio
5 Guelmame, Billel
5 Jiang, Ning
5 Keyfitz, Barbara Lee
5 Lee, Dongwook
5 Lenells, Jonatan
5 Li, Jun
5 Lopes Filho, Milton da Costa
5 Luo, Yilong
5 Mauser, Norbert Julius
5 Nussenzveig Lopes, Helena Judith
5 Soler, Juan S.
5 Szmigielski, Jacek
5 Tang, Huazhong
5 Yao, Aidi
5 Zhang, Qingling
4 Athanassoulis, Agisillaos
4 Brunelli, J. C.
4 Čanić, Sunčica
4 Capdeville, Guy
4 Chen, Jun
4 Danilov, Vladimir G.
4 de la Cruz, Richard
4 Di Crescenzo, Antonio
4 Fan, Yongqiang
4 Gao, Yu
4 Gosse, Laurent
4 Huang, Feimin
4 Hunter, John K.
4 James, François
4 Jamróz, Grzegorz
4 Liu, Yue
4 Liu, Yujin
4 Nordli, Anders
4 Pan, Lijun
4 Popowicz, Ziemowit
4 Sarrico, Carlos Orlando R.
4 Shao, Zhiqiang
4 Shelkovich, Vladimir M.
4 Sugiyama, Yuusuke
4 Wei, Xuemei
4 Witt, Ingo
4 Xu, Zhonghai
4 Yuan, Hairong
...and 785 more Authors
all top 5

Cited in 191 Serials

73 Journal of Differential Equations
52 Journal of Mathematical Analysis and Applications
38 Journal of Mathematical Physics
35 Journal of Computational Physics
24 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
23 SIAM Journal on Mathematical Analysis
23 Journal of Hyperbolic Differential Equations
22 Archive for Rational Mechanics and Analysis
21 Mathematical Methods in the Applied Sciences
21 ZAMP. Zeitschrift für angewandte Mathematik und Physik
18 Applied Mathematics Letters
18 Nonlinear Analysis. Real World Applications
16 Communications on Pure and Applied Analysis
15 Communications in Partial Differential Equations
13 Journal of Nonlinear Mathematical Physics
12 Quarterly of Applied Mathematics
12 Acta Applicandae Mathematicae
12 Physica D
11 Communications in Mathematical Physics
11 Chinese Annals of Mathematics. Series B
11 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
10 Communications on Pure and Applied Mathematics
10 Studies in Applied Mathematics
10 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
10 Advances in Mathematical Physics
10 Communications on Applied Mathematics and Computation
9 Applicable Analysis
9 Acta Mathematicae Applicatae Sinica. English Series
9 Journal of Scientific Computing
9 Communications in Nonlinear Science and Numerical Simulation
9 Acta Mathematica Scientia. Series B. (English Edition)
9 Boundary Value Problems
8 Journal de Mathématiques Pures et Appliquées. Neuvième Série
7 Applied Mathematics and Computation
7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
7 Discrete and Continuous Dynamical Systems
6 Indian Journal of Pure & Applied Mathematics
6 Physics Letters. A
6 Journal of Functional Analysis
5 Journal of Statistical Physics
5 Monatshefte für Mathematik
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 SIAM Journal on Scientific Computing
5 Abstract and Applied Analysis
5 Journal of Mathematical Fluid Mechanics
5 Bulletin of the Brazilian Mathematical Society. New Series
5 Science China. Mathematics
5 Nonlinear Analysis. Theory, Methods & Applications
4 Computers and Fluids
4 Nonlinearity
4 Mathematics of Computation
4 Transactions of the American Mathematical Society
4 Applied Numerical Mathematics
4 Journal of Dynamics and Differential Equations
4 Journal of Shanghai University
4 Journal of Physics A: Mathematical and Theoretical
4 SN Partial Differential Equations and Applications
3 Journal of Fluid Mechanics
3 Rocky Mountain Journal of Mathematics
3 Advances in Mathematics
3 Indiana University Mathematics Journal
3 Journal of Applied Probability
3 Journal of Computational and Applied Mathematics
3 Journal of Statistical Planning and Inference
3 Proceedings of the American Mathematical Society
3 Applied Mathematics and Mechanics. (English Edition)
3 SIAM Journal on Applied Mathematics
3 Journal of Nonlinear Science
3 European Journal of Mechanics. B. Fluids
3 Acta Mathematica Sinica. English Series
3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3 Communications in Computational Physics
3 Discrete and Continuous Dynamical Systems. Series S
3 Analysis and Mathematical Physics
2 Letters in Mathematical Physics
2 Mathematical Notes
2 Journal of Geometry and Physics
2 Journal of the London Mathematical Society. Second Series
2 Ricerche di Matematica
2 Zeitschrift für Analysis und ihre Anwendungen
2 Bulletin of the Korean Mathematical Society
2 Statistics & Probability Letters
2 Journal of the American Mathematical Society
2 Science in China. Series A
2 International Journal of Mathematics
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 International Journal of Nonlinear Sciences and Numerical Simulation
2 Journal of Evolution Equations
2 Stochastic Models
2 Journal of Cosmology and Astroparticle Physics
2 Analysis and Applications (Singapore)
2 Acta Numerica
2 Advances in Difference Equations
2 Differential Equations and Applications
2 Journal of Applied Analysis and Computation
2 Advances in Nonlinear Analysis
2 Research in the Mathematical Sciences
2 Open Mathematics
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 International Journal of Modern Physics B
...and 91 more Serials
all top 5

Cited in 36 Fields

803 Partial differential equations (35-XX)
480 Fluid mechanics (76-XX)
100 Numerical analysis (65-XX)
54 Statistical mechanics, structure of matter (82-XX)
53 Dynamical systems and ergodic theory (37-XX)
29 Probability theory and stochastic processes (60-XX)
20 Quantum theory (81-XX)
17 Global analysis, analysis on manifolds (58-XX)
16 Classical thermodynamics, heat transfer (80-XX)
16 Biology and other natural sciences (92-XX)
11 Calculus of variations and optimal control; optimization (49-XX)
11 Optics, electromagnetic theory (78-XX)
11 Relativity and gravitational theory (83-XX)
10 Mechanics of particles and systems (70-XX)
10 Operations research, mathematical programming (90-XX)
9 Functional analysis (46-XX)
8 Ordinary differential equations (34-XX)
8 Astronomy and astrophysics (85-XX)
7 Nonassociative rings and algebras (17-XX)
7 Differential geometry (53-XX)
7 Mechanics of deformable solids (74-XX)
6 Operator theory (47-XX)
5 Systems theory; control (93-XX)
4 Measure and integration (28-XX)
4 Approximations and expansions (41-XX)
4 Computer science (68-XX)
2 Topological groups, Lie groups (22-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 History and biography (01-XX)
1 Real functions (26-XX)
1 Functions of a complex variable (30-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Integral equations (45-XX)
1 Geophysics (86-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year