Global classical solutions to a two-dimensional chemotaxis-fluid system involving signal-dependent degenerate diffusion

Yansheng Ma, Peter Y. H. Pang, Yifu Wang

This paper is concerned with the two-dimensional chemotaxis-fluid model \begin{equation*} \begin{cases} n_t+u\cdot\nabla n=Δ(nϕ(v))+μn(1-n),\\ v_t+u\cdot\nabla v=Δv-nv,\\ u_t+…