Measure-valued solutions to the complete Euler system

Jan Březina, Eduard Feireisl

Research output: Contribution to journalArticlepeer-review

28 Citations (Scopus)


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
Issue number4
Publication statusPublished - 2018
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)


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