On Self-similar Solutions to Degenerate Compressible Navier–Stokes Equations

Pierre Germain, Tsukasa Iwabuchi, Tristan Léger

Research output: Contribution to journalArticlepeer-review

Abstract

We study cavitating solutions to compressible Navier–Stokes equations with degenerate density-dependent viscosity. We consider two types of small radial solutions: forward self-similar (expanders), and backward self-similar (shrinkers). In the first case, we construct such solutions by a fixed-point argument. In the second case, we prove non-existence of such solutions using weighted energy estimates.

Original languageEnglish
Pages (from-to)1001-1030
Number of pages30
JournalCommunications in Mathematical Physics
Volume381
Issue number3
DOIs
Publication statusPublished - 2021 Feb

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Fingerprint Dive into the research topics of 'On Self-similar Solutions to Degenerate Compressible Navier–Stokes Equations'. Together they form a unique fingerprint.

Cite this