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 |
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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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