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 $u_t+f(u{)}_x=\hat{I}¼(u^m{)}_{xx}$ on $\mathbb{R}\times (0,+\infty )$ when…