Positive entropic schemes for a nonlinear fourth-order parabolic equation

DOI10.3934/dcdsb.2003.3.1zbMath1023.65090OpenAlexW2092130594MaRDI QIDQ1866621

José Antonio Carrillo, Shao-Qiang Tang, Ansgar Jüngel

Publication date: 16 November 2003

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2003.3.1

zbMATH Keywords

finite difference methodCauchy problemnumerical exampleslong-time behaviorinitial-boundary value problemsquantum systemsinterface fluctuationsdiscrete entropy estimatesdiscrete positive solutionsnonlinear fourth-order parabolic equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) PDEs in connection with quantum mechanics (35Q40) Initial value problems for nonlinear higher-order PDEs (35G25)

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