The Riemann problem for a forward-backward parabolic equation

被引：15
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.
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页码：291 / 311
页数：21
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