Cauchy problems for chemotaxis systems with chemo attractant and repellent

Electronic Journal of Differential Equations

article

Aesha Lagha¹  Harumi Hattori² 

[1] Department of Mathematics Zawia University;Department of Mathematics West Virginia University Morgantown

关键词: Energy method;    a priori estimates;    Fourier transform;    time-decay rates.;   

DOI  :  10.58997/ejde.2022.48

学科分类：数学（综合）

来源: Texas State University

【 摘 要 】

We study the existence of global solutions and their asymptotic behavior for a chemotaxis system with chemo-attractant and repellent in three dimensions. To accomplish this, we use the Fourier transform and energy method. First, we establish Lq time-decay for the linear homogeneous system using Fourier transform and finding Green's matrix. Then, we find Lq time-decay for the nonlinear system using the Duhamel's principle and the time-weighted estimates.

【 授权许可】

CC BY