Generalized solutions to models of inviscid fluids
Analysis of PDEs
2019-07-04 v2
Abstract
We discuss several approaches to generalized solutions of problems describing the motion of inviscid fluids. We propose a new concept of dissipative solution to the compressible Euler system based on a careful analysis of possible oscillations and/or concentrations in the associated generating sequence. Unlike the conventional measure-valued solutions or rather their expected values, the dissipative solutions comply with a natural compatibility condition - they are classical solutions as long as they enjoy certain degree of smoothness.
Cite
@article{arxiv.1907.00757,
title = {Generalized solutions to models of inviscid fluids},
author = {Dominic Breit and Eduard Feireisl and Martina Hofmanova},
journal= {arXiv preprint arXiv:1907.00757},
year = {2019}
}