Generalized solutions to models of inviscid fluids

Dominic Breit, Eduard Feireisl, Martina Hofmanová

Research output: Contribution to journalArticle

Abstract

We discuss several approaches to generalized solutions of problems describing the motion of inviscid fluids. We propose a new concept of dissipative solution to the compressible Euler system based on a careful analysis of possible oscillations and/or concentrations in the associated generating sequence. Unlike the conventional measure–valued solutions or rather their expected values, the dissipative solutions comply with a natural compatibility condition – they are classical solutions as long as they enjoy a certain degree of smoothness.

Original languageEnglish
Pages (from-to)3831-3842
Number of pages12
JournalDiscrete and Continuous Dynamical Systems - Series B
Volume25
Issue number10
Early online date19 Jan 2020
DOIs
Publication statusPublished - Oct 2020

Keywords

  • Dissipative solution
  • Euler system
  • Weak solution

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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