Partial-moment minimum-entropy models for kinetic chemotaxis equations in one and two dimensions

被引：4

作者：

Ritter, Juliane ^{[1
]}

Klar, Axel ^{[1
]}

Schneider, Florian ^{[1
]}

机构：

[1] TU Kaiserslautern, Fachbereich Math, Erwin Schrodinger Str, D-67663 Kaiserslautern, Germany

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2016年 / 306卷

关键词：

Chemotaxis; Moment models; Minimum entropy; RADIATIVE HEAT-TRANSFER; FOKKER-PLANCK EQUATION; KELLER-SEGEL MODEL; BLOW-UP; DIFFUSION; FLUX; APPROXIMATIONS; AGGREGATION; INSTABILITY; TRANSPORT;

D O I：

10.1016/j.cam.2016.04.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this work is to investigate the application of partial moment approximations to kinetic chemotaxis equations in one and two spatial dimensions. Starting with a kinetic equation for the cell densities we apply a half-/quarter-moments method with different closure relations to derive macroscopic equations. Appropriate numerical schemes are presented as well as numerical results for several test cases. The resulting solutions are compared to kinetic reference solutions and solutions computed using a full moment method with a linear superposition strategy. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：300 / 315

页数：16

共 3 条

[1] AN ASYMPTOTIC PRESERVING SCHEME FOR KINETIC CHEMOTAXIS MODELS IN TWO SPACE DIMENSIONS
Chertock, Alina
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Lukacova-Medvidova, Maria
Ozcan, Seyma Nur
KINETIC AND RELATED MODELS, 2019, 12 (01) : 195 - 216
[2] A NEW ENTROPY-VARIABLE-BASED DISCRETIZATION METHOD FOR MINIMUM ENTROPY MOMENT APPROXIMATIONS OF LINEAR KINETIC EQUATIONS
Leibner, Tobias
Ohlberger, Mario
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2021, 55 (06): : 2567 - 2608
[3] Hamiltonian closures for two-moment fluid models derived from drift-kinetic equations
Tassi, E.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2014, 47 (19)

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