Globally bounded trajectories for the barotropic Navier–Stokes system with general boundary conditions

Jan Březina, Eduard Feireisl, Antonín Novotný

Research output: Contribution to journalArticlepeer-review

Abstract

We consider the barotropic Navier–Stokes system describing the motion of a viscous compressible fluid interacting with the outer world through general in/out flux boundary conditions. We consider a hard-sphere type pressure EOS and show that all trajectories eventually enter a bounded absorbing set. In particular, the associated (Formula presented.) limit sets are compact and support a stationary statistical solution.

Original languageEnglish
Pages (from-to)1820-1832
Number of pages13
JournalCommunications in Partial Differential Equations
Volume45
Issue number12
DOIs
Publication statusPublished - Sep 5 2020

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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