Finite volume methods for degenerate chemotaxis model

被引：31

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

页码：4015 / 4031

页数：17