2 papers
math.AP2025
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),\…
math.AP2018
Renormalized solutions to a chemotaxis system with consumption of chemoattractant
Hengling Wang, Yuxiang Li
This paper investigates a high-dimensional chemotaxis system with consumption of chemoattractant \begin{eqnarray*} \left\{\begin{array}{l} u_t=Δu-\nabla\cdot(u\nabla v), v_t=Δv-uv,…