The Riemann problem for a forward-backward parabolic equation

被引：16

作者：

Gilding, Brian H. ^{[2
]}

Tesei, Alberto ^{[1
]}

机构：

[1] Univ Roma La Sapienza, Fac Math Phys & Nat Sci, Dept Math Guido Castelnuovo, Rome, Italy

[2] Kuwait Univ, Fac Sci, Dept Math & Comp Sci, Safat 13060, Kuwait

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2010年 / 239卷 / 06期

关键词：

Phase transition; Forward-backward parabolic equation; III posed; Riemann problem; Entropy weak solution; Discontinuity; Classification; Existence; Uniqueness; CONCENTRATION-DEPENDENT DIFFUSION; POROUS-MEDIA EQUATION; LARGE TIME BEHAVIOR; SIMILARITY SOLUTIONS; CONSERVATION-LAWS; REGULARIZATION;

D O I：

10.1016/j.physd.2009.10.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Riemann problem for a forward-backward parabolic equation of interest in physical and biological models is studied. A complete classification of suitably defined entropy solutions is provided. Thereafter, the existence and uniqueness of a solution is proven, and its type is identified. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：291 / 311

页数：21

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