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.
Citation
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
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