Article ID Journal Published Year Pages File Type
4609808 Journal of Differential Equations 2015 11 Pages PDF
Abstract

We adapt the relative energy functional associated to the compressible Navier–Stokes system to show stability of solutions emanating from 1-D initial data with respect to multidimensional N=2,3N=2,3 perturbations. Besides the application of the relative energy inequality as a suitable “distance” between two solutions, refined regularity estimates in LpLp based Sobolev spaces are used.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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