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

0506125 - MÚ 2020 US eng J - Journal Article
Březina, J. - Mácha, Václav
Inviscid limit for the compressible Euler system with non-local interactions.
Journal of Differential Equations. Roč. 267, č. 7 (2019), s. 4410-4428. ISSN 0022-0396. E-ISSN 1090-2732
Keywords : artificial viscosity * collective behavior * Euler system * measure-valued solution
OECD category: Pure mathematics
Impact factor: 2.192, year: 2019
https://www.sciencedirect.com/science/article/pii/S0022039619302177?via%3Dihub

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.
Permanent Link: http://hdl.handle.net/11104/0297385