NONLINEAR FLUX-LIMITED MODELS FOR CHEMOTAXIS ON NETWORKS

被引：1
|
作者：
Borsche, Raul [1 ]
Klar, Axel [1 ]
Ha Pham, T. N. [1 ]
机构：
[1] Tech Univ Kaiserslautern, Dept Math, Erwin Schrodinger Str, D-67663 Kaiserslautern, Germany
来源：
NETWORKS AND HETEROGENEOUS MEDIA | 2017年 / 12卷 / 03期
关键词：
Chemotaxis; kinetic equation; nonlinear maximum entropy; moment closure; relaxation schemes; networks; coupling conditions; KELLER-SEGEL MODEL; WELL-BALANCED SCHEME; CHEMOSENSITIVE MOVEMENT; RELAXATION SCHEMES; RADIATIVE-TRANSFER; HYPERBOLIC MODELS; SOURCE TERMS; BLOW-UP; EQUATIONS; DIFFUSION;
D O I：
10.3934/nhm.2017017
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we consider macroscopic nonlinear moment models for the approximation of kinetic chemotaxis equations on a network. Coupling conditions at the nodes of the network for these models are derived from the coupling conditions of kinetic equations. The results of the different models are compared and relations to a Keller-Segel model on networks are discussed. For a numerical approximation of the governing equations an asymptotic well-balanced schemes is extended to directed graphs. Kinetic and macroscopic equations are investigated numerically and their solutions are compared for tripod and more general networks.
引用
收藏
页码：381 / 401
页数：21
相关论文
共 50 条
12345