Finite volume methods for degenerate chemotaxis model

被引：30
|
作者：
Andreianov, Boris [2 ]
Bendahmane, Mostafa [1 ]
Saad, Mazen [3 ]
机构：
[1] Univ Bordeaux 2, Inst Math Bordeaux, F-33076 Bordeaux, France
[2] Univ Franche Comte, CNRS, UMR 6623, Math Lab, F-25030 Besancon, France
[3] CNRS, UMR 6629, Lab Math Jean Leray, Ecole Cent Nantes,Dept Informat & Math, F-44321 Nantes 3, France
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2011年 / 235卷 / 14期
关键词：
Degenerate; Reaction-diffusion; Chemotaxis; Finite volume scheme; KELLER-SEGEL MODEL; NONLINEAR DIFFUSION; PARABOLIC EQUATIONS; PREVENTION; SCHEME;
D O I：
10.1016/j.cam.2011.02.023
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A finite volume method for solving the degenerate chemotaxis model is presented, along with numerical examples. This model consists of a degenerate parabolic convection-diffusion PDE for the density of the cell-population coupled to a parabolic PDE for the chemoattractant concentration. It is shown that discrete solutions exist, and the scheme converges. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：4015 / 4031
页数：17
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