Global well-posedness and flat-hump-shaped stationary solutions for degenerate chemotaxis systems with threshold density

Osuke Shibata, Tomomi Yokota

In a smoothly bounded domain $\Omega \subset {\mathbb{R}}^N$ $(N\in \mathbb{N})$, a no-flux initial-boundary value problem for the degenerate chemotaxis system with volume-filling effects,…