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Global boundedness of solutions to a chemotaxis-fluid system with singular sensitivity and logistic source
Global boundedness of solutions to a chemotaxis-fluid system with singular sensitivity and logistic source
- Source :
- Communications on Pure & Applied Analysis. 19:3843-3883
- Publication Year :
- 2020
- Publisher :
- American Institute of Mathematical Sciences (AIMS), 2020.
-
Abstract
- In this paper, we investigate the chemotaxis-fluid system with singular sensitivity and logistic source in bounded convex domain with smooth boundary. We present the global existence of very weak solutions under appropriate regularity assumptions on the initial data. Then, we show that system possesses a global bounded classical solution. Finally, we present a unique globally bounded classical solution for a fluid-free system. In addition, the asymptotic behavior of the solutions is studied, and our results generalize and improve some well-known results in the literature, and partially results are new.
Details
- ISSN :
- 15535258
- Volume :
- 19
- Database :
- OpenAIRE
- Journal :
- Communications on Pure & Applied Analysis
- Accession number :
- edsair.doi...........e04d1cf2ec8da9b144f29f2aa6a2d6ac
- Full Text :
- https://doi.org/10.3934/cpaa.2020170