Robustness of one-dimensional viscous fluid motion under multidimensional perturbations (Q499548)

The authors consider the 3D compressible barotropic Navier-Stokes system and study the stability of solutions corresponding to 1D initial data with respect to 2D and 3D perturbations. They show that 1D solutions are uniquely determined in the framework of weak solutions of the initial problem provided that a suitable energy inequality is achieved.