Paper

Weak–strong uniqueness property for models of compressible viscous fluids near vacuum*

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Published 10 August 2021 • © 2021 IOP Publishing Ltd & London Mathematical Society
, , Citation Eduard Feireisl and Antonín Novotný 2021 Nonlinearity 34 6627 DOI 10.1088/1361-6544/ac17c9

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Author e-mails

feireisl@math.cas.cz

novotny@univ-tln.fr

Author affiliations

1 Institute of Mathematics of the Academy of Sciences of the Czech Republic, Žitná 25, CZ-115 67 Praha 1, Czech Republic

2 IMATH, EA 2134, Université de Toulon, BP 20132, 83957 La Garde, France

Author notes

3 Author to whom any correspondence should be addressed.

4 Recommended by Dr A L Mazzucato.

Dates

  1. Received 21 March 2021
  2. Revised 16 July 2021
  3. Accepted 26 July 2021
  4. Published

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0951-7715/34/9/6627

Abstract

We extend the weak–strong uniqueness principle to general models of compressible viscous fluids near/on the vacuum. In particular, the physically relevant case of positive density with polynomial decay at infinity is considered.

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Recommended by Dr A L Mazzucato

Footnotes

  • * 

    The work of EF was supported by the Czech Sciences Foundation (GAČR), Grant Agreement 21-02411S. The work of AN was partially supported by the Eduard Čech visiting program at the Mathematical Institute of the Academy of Sciences of the Czech Republic.

10.1088/1361-6544/ac17c9