GLOBAL SOLVABILITY TO A SINGULAR CHEMOTAXIS-CONSUMPTION MODEL WITH FAST AND SLOW DIFFUSION AND LOGISTIC SOURCE

被引：3

作者：

Zhou, Langhao ^{[1
]}

Wang, Liangwei ^{[1
]}

Jin, Chunhua ^{[2
]}

机构：

[1] Chongqing Three Gorges Univ, Coll Math & Stat, Chongqing 404100, Peoples R China

[2] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2022年 / 27卷 / 04期

关键词：

Chemotaxis; logistic source; singular sensitivity; porous medium diffusion; global weak solution; KELLER-SEGEL SYSTEM; TRAVELING-WAVES; BOUNDARY-LAYERS; SENSITIVITY; BOUNDEDNESS; STABILITY; EXISTENCE;

D O I：

10.3934/dcdsb.2021122

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the following chemotaxis-consumption model with porous medium diffusion and singular sensitivity {u(t) = Delta u(m) - chi div(u/v del v) + mu u(1-u), vt - Delta v - u(r)v, in a bounded domain Omega subset of R-N (N >= 2) with zero-flux boundary conditions. It is shown that if r < 4/N+2, for arbitrary case of fast diffusion (m <= 1) and slow diffusion (m > 1), this problem admits a locally bounded global weak solution. It is worth mentioning that there are no smallness restrictions on the initial datum and chemotactic coefficient.

引用

页码：2065 / 2075

页数：11

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