Measure-valued solutions to the complete Euler system

Jan Březina, Eduard Feireisl

研究成果: Contribution to journalArticle査読

22 被引用数 (Scopus)

抄録

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.

本文言語英語
ページ(範囲)1227-1245
ページ数19
ジャーナルJournal of the Mathematical Society of Japan
70
4
DOI
出版ステータス出版済み - 2018
外部発表はい

All Science Journal Classification (ASJC) codes

  • 数学 (全般)

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