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math.AP2024★ 1 cited
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…
math.AP2016
Steady hydrodynamic model of semiconductors with sonic boundary
Jingyu Li, Ming Mei, Guojing Zhang +1
In this paper, we study the well-posedness/ill-posedness and regularity of stationary solutions to the hydrodynamic model of semiconductors represented by Euler-Poisson equations w…