(S)-convergence and approximation of oscillatory solutions in fluid dynamics
Analysis of PDEs
2020-06-16 v1
Abstract
We propose a new concept of (S)-convergence applicable to numerical methods as well as other consistent approximations of the Euler system in gas dynamics. (S)-convergence, based on averaging in the spirit of Strong Law of Large Numbers, reflects the asymptotic properties of a given approximate sequence better than the standard description via Young measures. Similarity with the tools of ergodic theory is discussed.
Keywords
Cite
@article{arxiv.2006.07651,
title = {(S)-convergence and approximation of oscillatory solutions in fluid dynamics},
author = {Eduard Feireisl},
journal= {arXiv preprint arXiv:2006.07651},
year = {2020}
}