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Asymptotic stability of strong rarefaction waves to a parabolic-hyperbolic system arising from chemotaxis
Sitong Liu, Jingyu Li
We are interested in the asymptotic behavior of solutions toward strong rarefaction waves for a parabolic-hyperbolic system arising from chemotaxis. Suppose that the Riemann proble…
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…