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.
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收藏
页码：1 / 20
页数：20
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