TIME PERIODIC SOLUTION TO A MECHANOCHEMICAL MODEL IN BIOLOGICAL PATTERNS

被引：0

作者：

Du, Chengxin ^{[1
]}

Liu, Changchun ^{[1
]}

机构：

[1] Jilin Univ, Dept Math, Changchun 130012, Peoples R China

来源：

EVOLUTION EQUATIONS AND CONTROL THEORY | 2023年 / 12卷 / 02期

关键词：

Mechanochemical model in biological patterns; time periodic solution; mild solution; integral equation; COUPLED GINZBURG-LANDAU; NAVIER-STOKES EQUATIONS; SYSTEM; FIELD;

D O I：

10.3934/eect.2022039

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a mechanochemical model in biological patterns in R-N, N >= 5. We first prove the existence of time periodic solution in BC(R; L-N,infinity(Omega)). Then we obtain the existence, uniqueness and regularity of the mild solution of the problem. Finally, we prove that the mild solution can become strong solution in BC(R; L-N,infinity(Omega)).

引用

页码：502 / 524

页数：23

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