ERROR ESTIMATES AND BLOW-UP ANALYSIS OF A FINITE-ELEMENT APPROXIMATION FOR THE PARABOLIC-ELLIPTIC KELLER-SEGEL SYSTEM

被引：0

作者：

Chen, Wenbin ^{[1
]}

Liu, Qianqian ^{[2
]}

Shen, Jie ^{[3
]}

机构：

[1] Fudan Univ, Sch Math Sci, Shanghai Key Lab Contemporary Appl Math, Shanghai 200433, Peoples R China

[2] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

[3] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

来源：

INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING | 2022年 / 19卷 / 2-3期

基金：

中国国家自然科学基金;

关键词：

Parabolic-elliptic systems; finite element method; error estimates; finite-time blowup; DISCONTINUOUS GALERKIN METHODS; CAHN-HILLIARD EQUATION; NUMERICAL SCHEME; CHEMOTAXIS; ENERGY; MODEL; EXISTENCE; TIME;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Keller-Segel equations are widely used for describing chemotaxis in biology. Recently, a new fully discrete scheme for this model was proposed in [46], mass conservation, positivity and energy decay were proved for the proposed scheme, which are important properties of the original system. In this paper, we establish the error estimates of this scheme. Then, based on the error estimates, we derive the finite-time blowup of nonradial numerical solutions under some conditions on the mass and the moment of the initial data.

引用

页码：275 / 298

页数：24

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