Self-similar solutions for compressible Navier-Stokes equations

2019/03/24 by Germain, Pierre, Iwabuchi, Tsukasa
#35C06 #76N10 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1903.09958

Abstract

We construct forward self-similar solutions (expanders) for the compressible Navier-Stokes equations. Some of these self-similar solutions are smooth, while others exhibit a singularity do to cavitation at the origin.

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