Mass threshold for global existence in chemotaxis systems with critical flux limitation

Xuan Mao, Hengling Wang, Jianlu Yan

This paper investigates the flux-limited chemotaxis system, proposed by Kohatsu and Senba~(2025), \begin{equation*} \begin{cases} u_t = Δu -\nabla\cdot(u|\nabla v|^{α-2}\nabla v)…