Asymptotic stability of planar rarefaction waves for 3-d isentropic Navier-Stokes equations under periodic perturbations

Feimin Huang, Lingda Xu, Qian Yuan

We study the asymptotic stability of a planar rarefaction wave (in the $x_1$- direction) for the 3-d isentropic Navier-Stokes equations, where the initial perturbation is periodi…