Huang Yanqiu and Tao Qiang: The decay rates of solutions to a chemotaxis-shallow water system. (2021)
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Abstract
In this paper, we consider the large time behavior of solution for the chemotaxis-shallow water system in R2 . The lower bound for time decay rates of the bacterial density and the chemoattractant concentration are proved by the method of energy estimates, which implies these two variables tend to zero at the L 2 -rate (1 + t) − 1 2 . Furthermore, by the Fourier splitting method, we also show the first order spatial derivatives of the bacterial density tends to zero at the L 2 -rate (1 + t) −1
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2021 |
| Number: | 17 |
| ISSN: | 1417-3875 |
| Number of Pages: | 7 |
| Language: | English |
| DOI: | 10.14232/ejqtde.2021.1.17 |
| Uncontrolled Keywords: | Differenciálegyenlet |
| Additional Information: | Bibliogr.: p. 6-7. ; összefoglalás angol nyelven |
| Date Deposited: | 2021. Nov. 08. 10:37 |
| Last Modified: | 2021. Nov. 08. 10:37 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/73669 |
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