Measure-valued solutions to the complete Euler system

• Březina Jan

  Tokyo Institute of Technology

• Feireisl Eduard

  Institute of Mathematics of the Academy of Sciences of the Czech Republic

抄録

We introduce the concept of dissipative measure-valued solution 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.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 70 (4), 1227-1245, 2018

  一般社団法人 日本数学会

キーワード

• Euler system
• measure-valued solution
• weak-strong uniqueness
• perfect gas

詳細情報

• CRID: 1390845713014324480
• NII論文ID: 130007500756
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/77337733
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• NDL書誌ID: 029291949
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I029291949
• 本文言語コード: en
• データソース種別:
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  • NDL
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