Measure-valued solutions to the complete Euler system

Jan Brezina, Eduard Feireisl

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We introduce the concept of dissipative measure-valued so- lution to the complete Euler system describing the motion of an inviscid compressible fluid. These solutions are characterized by a parameterized (Young) measure and a dissipation defect in the total energy balance. The dissipation defect dominates the concentration errors in the equations satisfied by the Young measure. A dissipative measure-valued solution can be seen as the most general concept of solution to the Euler system retaining its structural stability. In particular, we show that a dissipative measure-valued solution necessarily coincides with a classical one on its life span provided they share the same initial data.

Original languageEnglish
Pages (from-to)1227-1245
Number of pages19
JournalJournal of the Mathematical Society of Japan
Volume70
Issue number4
DOIs
Publication statusPublished - Jan 1 2018

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Measure-valued Solutions
Euler System
Young Measures
Dissipation
Defects
Structural Stability
Energy Balance
Life Span
Compressible Fluid
Motion
Concepts

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Measure-valued solutions to the complete Euler system. / Brezina, Jan; Feireisl, Eduard.

In: Journal of the Mathematical Society of Japan, Vol. 70, No. 4, 01.01.2018, p. 1227-1245.

Research output: Contribution to journalArticle

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