Li-Li Wang

Global solvability with arbitrary mass for a chemotaxis--fluid model with sensitivity growth between linear and quadratic

We study a Patlak--Keller--Segel--Navier--Stokes system on $\mathbb T\times\mathbb R$ with density-dependent diffusion and chemotactic sensitivity growing like $n^{1+\alpha}$, where $0<\alpha<1$. The coefficients satisfy the constitutive relation of Painter and Hillen (Can. Appl. Math. Q. 2002; 10(4): 501--543). Near a...