Inviscid limit for the compressible Euler system with non-local interactions

Jan Brezina, Václav Mácha

研究成果: ジャーナルへの寄稿記事

抄録

The collective behavior of animals can be modeled by a system of equations of continuum mechanics endowed with extra terms describing repulsive and attractive forces between the individuals. This system can be viewed as a generalization of the compressible Euler equations with all of its unpleasant consequences, e.g., the non-uniqueness of solutions. In this paper, we analyze the equations describing a viscous approximation of a generalized compressible Euler system and we show that its dissipative measure-valued solutions tend to a strong solution of the Euler system as viscosity tends to zero, provided the strong solution exists.

元の言語英語
ページ(範囲)4410-4428
ページ数19
ジャーナルJournal of Differential Equations
267
発行部数7
DOI
出版物ステータス出版済み - 9 15 2019
外部発表Yes

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Inviscid Limit
Nonlocal Interactions
Euler System
Strong Solution
Tend
Measure-valued Solutions
Compressible Euler Equations
Continuum mechanics
Collective Behavior
Continuum Mechanics
Nonuniqueness
Euler equations
System of equations
Animals
Viscosity
Zero
Term
Approximation
Generalization

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

これを引用

Inviscid limit for the compressible Euler system with non-local interactions. / Brezina, Jan; Mácha, Václav.

:: Journal of Differential Equations, 巻 267, 番号 7, 15.09.2019, p. 4410-4428.

研究成果: ジャーナルへの寄稿記事

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