Ming Mei

most citedNonlinear stability of shock profiles to Burgers' equation with critical fast diffusion and singularity

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.AP2026

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 $u_{t} + f (u)_{x} = (\frac{u _{x}}{u ^{1 - m}})_{x}$ on the half-space $(0, + \infty)$ , subjec…

math.AP2024

Viscous shock waves of Burgers equation with fast diffusion and singularity

Shufang Xu, Ming Mei, Jean-Christophe Nave +1

In this paper, we study the asymptotic stability of viscous shock waves for Burgers' equation with fast diffusion $u_{t} + f (u)_{x} = μ (u^{m})_{xx}$ on $R \times (0, + \infty)$ when…

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 $u_{t} + f (u)_{x} = (ln u)_{xx}$ . The solution possesses a strong si…