Measure-valued solutions to the complete Euler system
Analysis of PDEs
2017-02-17 v1
Abstract
We introduce the concept of dissipative measure-valued solution 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.
Keywords
Cite
@article{arxiv.1702.04870,
title = {Measure-valued solutions to the complete Euler system},
author = {Jan Brezina and Eduard Feireisl},
journal= {arXiv preprint arXiv:1702.04870},
year = {2017}
}