Osuke Shibata

Existence and uniqueness of global weak solutions to degenerate volume-filling chemotaxis systems with source terms

This paper is concerned with a no-flux initial-boundary value problem for the degenerate volume-filling chemotaxis system with source terms, \begin{align*} u_t = \nabla \cdot (D(u,v) \nabla u - h(u,v) \nabla v) + f(x, u, v), \quad v_t = \Delta v + g(u,v), \quad x\in \Omega, \ t>0 \end{align*} in a smoothly bounded doma...