Positive entropic schemes for a nonlinear fourth-order parabolic equation

被引：0

作者：

Carrillo, JA ^{[1
]}

Jüngel, A

Tang, SQ

机构：

[1] Univ Granada, Dept Matemat Aplicada, E-18071 Granada, Spain

[2] Univ Konstanz, Fachbereich Math & Stat, D-78457 Constance, Germany

[3] Peking Univ, Dept Engn Sci & Mech, State Key Lab Turbulence Res, Beijing 100871, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2003年 / 3卷 / 01期

关键词：

finite difference method; discrete positive solutions; discrete entropy estimates; long-time behavior of discrete solutions;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A finite-difference scheme with positivity-preserving and entropy-decreasing properties for a nonlinear fourth-order parabolic equation arising in quantum systems and interface fluctuations is derived. Initial-boundary value problems, the Cauchy problem and a rescaled equation are discussed. Based on this scheme we elucidate properties of the long-time asymptotics for this equation.

引用

页码：1 / 20

页数：20

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