Cauchy problems for chemotaxis systems with chemo attractant and repellent
Date
2022-07-05
Authors
Lagha, Aesha
Hattori, Harumi
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
Energy method, A priori estimates, Fourier transform, Time-decay rates
Citation
Lagha, A., & Hattori, H. (2022). Cauchy problems for chemotaxis systems with chemo attractant and repellent. <i>Electronic Journal of Differential Equations, 2022</i>(48), pp. 1-23.
Rights
Attribution 4.0 International