Found 51 Documents (Results 1–51)
Fractional higher order thin film equation with linear mobility: gradient flow approach. (English) Zbl 1530.35347
A degenerate operator in non divergence form. (English) Zbl 07910306
Candela, Anna Maria (ed.) et al., Recent advances in mathematical analysis. Celebrating the 70th anniversary of Francesco Altomare. Based on the presentations at the international conference, ReDiMA 2021, Bari, Italy, September 23–24, 2021. Cham: Birkhäuser. Trends Math., 209-235 (2023).
Thermodynamically consistent and positivity-preserving discretization of the thin-film equation with thermal noise. (English) Zbl 07689722
Existence and weak-strong uniqueness for global weak solutions for the viscoelastic phase separation model in three space dimensions. (English) Zbl 1514.35003
Existence of nonnegative solutions to stochastic thin-film equations in two space dimensions. (English) Zbl 1503.60083
Reviewer: Isamu Dôku (Saitama)
Spreading equilibria under mildly singular potentials: pancakes versus droplets. (English) Zbl 1503.35158
Global existence of weak solutions to viscoelastic phase separation. II: Degenerate case. (English) Zbl 1492.35097
Global existence of weak solutions to viscoelastic phase separation. I: Regular case. (English) Zbl 1492.35096
Global weak solutions to fully cross-diffusive systems with nonlinear diffusion and saturated taxis sensitivity. (English) Zbl 1481.35253
Mass-conservative and positivity preserving second-order semi-implicit methods for high-order parabolic equations. (English) Zbl 07512373
On the field-induced transport of magnetic nanoparticles in incompressible flow: existence of global solutions. (English) Zbl 1459.35317
Reviewer: Alain Brillard (Riedisheim)
Strong solutions and trajectory attractors to the thin-film equation with absorption. (English) Zbl 1451.35030
Weak solutions to the Cahn-Hilliard equation with degenerate diffusion mobility in \(\mathbb{R} ^N\). (English) Zbl 1425.35093
Measure-valued solutions to a nonlinear fourth-order regularization of forward-backward parabolic equations. (English) Zbl 1407.35104
Reviewer: Adrian Muntean (Karlstad)
Carleman estimate and null controllability of a fourth order parabolic equation in dimension \(N\geq 2\). (English. French summary) Zbl 1405.35073
Reviewer: Vyacheslav I. Maksimov (Ekaterinburg)
Existence of positive solutions to stochastic thin-film equations. (English) Zbl 1395.76013
Reviewer: Anhui Gu (Socorro)
Study of weak solutions for a higher order nonlinear degenerate parabolic equation. (English) Zbl 1346.35114
Perfect plasticity with damage and healing at small strains, its modeling, analysis, and computer implementation. (English) Zbl 1383.74016
Reviewer: Vinod K. Arya (Dallas)
Thermomechanics of damageable materials under diffusion: modelling and analysis. (English) Zbl 1333.35276
Towards optimal regularity for the fourth-order thin film equation in \(\mathbb R^N\): Graveleau-type focusing self-similarity. (English) Zbl 1322.35051
The thin film equation with non-zero contact angle: A singular perturbation approach. (English) Zbl 1323.35063
Reviewer: Philippe Laurençot (Toulouse)
Upper bounds on waiting times for the thin-film equation: the case of weak slippage. (English) Zbl 1293.35241
Finite speed of propagation and algebraic time decay of solutions to a generalized thin film equation. (English) Zbl 1277.35221
The cutoff method for the numerical computation of nonnegative solutions of parabolic PDEs with application to anisotropic diffusion and lubrication-type equations. (English) Zbl 1297.65097
On an incompressible Navier-Stokes/Cahn-Hilliard system with degenerate mobility. (English) Zbl 1347.76052
Existence of solutions and separation from singularities for a class of fourth order degenerate parabolic equations. (English) Zbl 1278.35052
Reviewer: Josipa Pina Milisic (Zagreb)
Erratum: “On a fourth order degenerate parabolic equation in higher space dimension” [J. Math. Phys. 50, 123524, 26 p. (2009)]. (English) Zbl 1276.35099
Uniqueness of the regular waiting-time type solution of the thin film equation. (English) Zbl 1242.76041
Mathematical analysis to a nonlinear fourth-order partial differential equation. (English) Zbl 1219.35076
On a fourth order degenerate parabolic equation in higher space dimensions. (English) Zbl 1373.35161
J. Math. Phys. 50, No. 12, 123524, 26 p. (2009); erratum ibid. 53, No. 7, 079901, 3 p. (2012).
On the convective Cahn-Hilliard equation with degenerate mobility. (English) Zbl 1158.35077
Reviewer: Vladimir N. Grebenev (Novosibirsk)
A note on a fourth order degenerate parabolic equation in higher space dimensions. (English) Zbl 1133.35053
Reviewer: Cristian Chifu (Cluj-Napoca)
A new adaptive local mesh refinement algorithm and its application on fourth order thin film flow problem. (English) Zbl 1123.76343
Nonperturbative semi-analytical source-type solutions of thin-film equation. (English) Zbl 1090.65122
Doubly nonlinear thin-film equations in one space dimension. (English) Zbl 1064.76012
Reviewer: Jagdish Prakash (Mumbai)
Explicit solutions of a two-dimensional fourth-order nonlinear diffusion equation. (English) Zbl 1028.35037
Reviewer: Valery V.Karachik (Tashkent)
On the convergence of entropy consistent schemes for lubrication type equations in multiple space dimensions. (English) Zbl 1084.65093
Numerical methods for fourth order nonlinear degenerate diffusion problems. (English) Zbl 1090.35086
Reviewer: Josef Málek (Praha)
A waiting time phenomenon for thin film equations. (English) Zbl 1024.35051
Reviewer: Michael Grinfeld (Glasgow)
On Berni’s interpolation inequalities in multiple space dimensions. (English) Zbl 0996.35026
Reviewer: Lubomira Softova (Bari)
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