Global solvability of a class of reaction-diffusion systems with cross-diffusion

被引：1

作者：

Wang, Zhi-An ^{[1
]}

Wu, Leyun ^{[1
,2
]}

机构：

[1] Hong Kong Polytech Univ, Dept Appl Math, Hung Hom, Hong Kong, Peoples R China

[2] Shanghai Jiao Tong Univ, Sch Math Sci, MOE LSC, Shanghai, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2022年 / 124卷

关键词：

Reaction-diffusion; Cross-diffusion; Global boundedness; PATTERN-FORMATION; EXISTENCE; BOUNDEDNESS; MODEL; WAVE;

D O I：

10.1016/j.aml.2021.107699

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with a class of reaction-diffusion systems with cross diffusion which have various applications such as autocatalytic chemical reaction, predator-prey interactions, combustion and so on. By imposing some suitable structure assumptions, we establish the global existence and asymptotic behavior of solutions of the system in a two-dimensional bounded domain with Neumann boundary conditions. (c) 2021 Elsevier Ltd. All rights reserved.

引用

页数：8

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