1 citations · 2 across the 4 of their papers we have counts for
4 papers · 1 filter
Convergence to shock profiles for Burgers equation with singular fast-diffusion and boundary effect
Xiaowen Li, Ming Mei
In this paper, we study the asymptotic stability of viscous shock profile for the Burgers equation on the half-space , subjec…
Traveling waves to a logarithmic chemotaxis model with fast diffusion and singularities
Xiaowen Li, Dongfang Li, Jingyu Li +1
This paper is concerned with a chemotaxis model with logarithmic sensitivity and fast diffusion, which possesses strong singularities for the sensitivity at zero-concentration of c…
Transition layers to chemotaxis-consumption models with volume-filling effect
Xiaowen Li, Jingyu Li
We are interested in the dynamical behaviors of solutions to a parabolic-parabolic chemotaxis-consumption model with a volume-filling effect on a bounded interval, where the physic…
Nonlinear stability of shock profiles to Burgers' equation with critical fast diffusion and singularity
Xiaowen Li, Jingyu Li, Ming Mei +1
In this paper we propose the first framework to study Burgers' equation featuring critical fast diffusion in form of . The solution possesses a strong si…