Existence of global solutions to chemotaxis fluid system with logistic source

Hattori Harumi and Lagha Aesha: Existence of global solutions to chemotaxis fluid system with logistic source. (2021)

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Abstract

We establish the existence of global solutions and L q time-decay of a three dimensional chemotaxis system with chemoattractant and repellent. We show the existence of global solutions by the energy method. We also study L q time-decay for the linear homogeneous system by using Fourier transform and finding Green’s matrix. Then, we find L q time-decay for the nonlinear system using solution representation by Duhamel’s principle and time-weighted estimate.

Item Type: Journal
Publication full: Electronic journal of qualitative theory of differential equations
Date: 2021
Number: 53
ISSN: 1417-3875
Number of Pages: 27
Language: English
DOI: 10.14232/ejqtde.2021.1.53
Uncontrolled Keywords: Differenciálegyenlet, Fourier-transzformáció, Kemotaxis rendszer
Additional Information: Bibliogr.: p. 26-27. ; összefoglalás angol nyelven
Date Deposited: 2021. Nov. 11. 07:46
Last Modified: 2021. Nov. 11. 07:46
URI: http://acta.bibl.u-szeged.hu/id/eprint/73705

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