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arXiv · 1911.03544

On self-similar solutions to degenerate compressible Navier-Stokes equations

Pierre Germain·Tsukasa Iwabuchi·Tristan Léger
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Abstract

We study cavitating self-similar solutions to compressible Navier-Stokes equations with degenerate density-dependent viscosity. We prove both existence of expanders and non-existence of small shrinkers.

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Pierre Germain, Tsukasa Iwabuchi, Tristan Léger. 2019-11-08. On self-similar solutions to degenerate compressible Navier-Stokes equations. https://doi.org/10.1007/s00220-020-03919-6

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