### 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.

元の言語 | 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 |

巻 | 70 |

発行部数 | 4 |

DOI | |

出版物ステータス | 出版済み - 1 1 2018 |

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### All Science Journal Classification (ASJC) codes

- Mathematics(all)

### これを引用

*Journal of the Mathematical Society of Japan*,

*70*(4), 1227-1245. https://doi.org/10.2969/jmsj/77337733

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

研究成果: ジャーナルへの寄稿 › 記事

*Journal of the Mathematical Society of Japan*, 巻. 70, 番号 4, pp. 1227-1245. https://doi.org/10.2969/jmsj/77337733

}

TY - JOUR

T1 - Measure-valued solutions to the complete Euler system

AU - Brezina, Jan

AU - Feireisl, Eduard

PY - 2018/1/1

Y1 - 2018/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85055642951&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85055642951&partnerID=8YFLogxK

U2 - 10.2969/jmsj/77337733

DO - 10.2969/jmsj/77337733

M3 - Article

AN - SCOPUS:85055642951

VL - 70

SP - 1227

EP - 1245

JO - Journal of the Mathematical Society of Japan

JF - Journal of the Mathematical Society of Japan

SN - 0025-5645

IS - 4

ER -