Inviscid limit for the compressible Euler system with non-local interactions
Dynamical Systems
2016-11-24 v1 Analysis of PDEs
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 0, provided that the strong solution exists.
Keywords
Cite
@article{arxiv.1611.07607,
title = {Inviscid limit for the compressible Euler system with non-local interactions},
author = {Jan Březina and Václav Mácha},
journal= {arXiv preprint arXiv:1611.07607},
year = {2016}
}