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2021 Existence, uniqueness and decay estimates on mild solutions to fractional chemotaxis-fluid systems
Kerui Jiang, Zhi Ling, Zuhan Liu, Ling Zhou
Topol. Methods Nonlinear Anal. 57(1): 25-56 (2021). DOI: 10.12775/TMNA.2020.029

Abstract

We investigate a fractional chemotaxis system coupled with the Navier-Stokes fluid in the whole space $\mathbb{R}^{N}$ with $N\geq 3$. With the help an appropriate functional space, we develop a framework for a unified treatment of the existence, uniqueness and decay estimates of global mild solutions to this problem under the assumption that initial data are small enough.

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Kerui Jiang. Zhi Ling. Zuhan Liu. Ling Zhou. "Existence, uniqueness and decay estimates on mild solutions to fractional chemotaxis-fluid systems." Topol. Methods Nonlinear Anal. 57 (1) 25 - 56, 2021. https://doi.org/10.12775/TMNA.2020.029

Information

Published: 2021
First available in Project Euclid: 5 March 2021

Digital Object Identifier: 10.12775/TMNA.2020.029

Rights: Copyright © 2020 Juliusz P. Schauder Centre for Nonlinear Studies

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Vol.57 • No. 1 • 2021
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