Stability of strong solutions to the navier-stokes-fourier system

Jan Brezina, Eduard Feireisl, Antonin Novotny

Research output: Contribution to journalArticlepeer-review

Abstract

We identify a large class of objects-dissipative measure-valued (DMV) solutions to the Navier-Stokes-Fourier system-in which the strong solutions are stable. More precisely, a DMV solution coincides with the strong solution emanating from the same initial data as long as the latter exists. The DMV solutions are represented by parameterized families of measures satisfying certain compatibility conditions. They can be seen as an analogue to the dissipative measure-valued solutions introduced earlier in the context of the (inviscid) Euler system.

Original languageEnglish
Pages (from-to)1761-1785
Number of pages25
JournalSIAM Journal on Mathematical Analysis
Volume52
Issue number2
DOIs
Publication statusPublished - 2020
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Analysis
  • Computational Mathematics
  • Applied Mathematics

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