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

Jan Březina, Václav Mácha

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish
Pages (from-to)4410-4428
Number of pages19
JournalJournal of Differential Equations
Volume267
Issue number7
DOIs
Publication statusPublished - Sep 15 2019
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Inviscid limit for the compressible Euler system with non-local interactions'. Together they form a unique fingerprint.

  • Cite this