Global generalized solutions to a nonlinear Keller-Segel equation with singular sensitivity

Jianlu Yan, Yuxiang Li

We consider the chemotaxis system \begin{eqnarray*} \begin{cases} \begin{array}{lll} \medskip u_t =Δu^m - \nabla(\frac{u}{v}\nabla v),&{} x\inΩ,\ t>0, \medskip v_t =Δv -uv,&{}x\inΩ…