Existence, uniqueness and decay estimates on mild solution to a fractional chemotaxis-fluid system

时   间：  2023-04-14 15:00 — 16:00

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 \textit{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.