NUMERICAL SIMULATION OF A HYPERBOLIC MODEL FOR CHEMOTAXIS AFTER BLOW UP

被引：0

作者：

James, Francois ^{[1
,2
,3
]}

Vauchelet, Nicolas ^{[4
,5
,6
]}

机构：

[1] Univ Orleans, MAPMO, F-45067 Orleans 2, France

[2] Univ Orleans, CNRS, UMR Federat Denis Poisson 6628, F-45067 Orleans 2, France

[3] CNRS, FR 2964, F-45067 Orleans 2, France

[4] Univ Paris 06, CNRS, UMR 7598, Lab Jacques Louis Lions, F-75005 Paris, France

[5] Lab Jacques Louis Lions, F-75005 Paris, France

[6] INRIA Paris Rocquencourt, EPI BANG, F-75005 Paris, France

来源：

HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS | 2014年 / 8卷

关键词：

Chemotaxis; non-local conservation equations; numerical analysis; finite volume scheme; measure-valued solutions; EQUATIONS; AGGREGATION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A macroscopic system modelling the chemotactic motion of bacteria is considered. This model has been obtained in a previous work as the hydrodynamic limit of a kinetic system. Existence and uniqueness of measure solutions for this system using the concept of duality solution have been proved by the authors in [7]. In this paper, we investigate the numerical discretization of this system. A scheme based on a finite volume approach is proposed and the convergence of the numerical solution towards the unique duality solution is stated. Numerical simulations are provided that shows the behaviour of solutions after blow up.

引用

页码：693 / 700

页数：8

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