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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