Minimal acceleration for the multi-dimensional isentropic Euler equations
Analysis of PDEs
2022-09-20 v6
Abstract
On the set of dissipative solutions to the multi-dimensional isentropic Euler equations we introduce a quasi-order by comparing the acceleration at all times. This quasi-order is continuous with respect to a suitable notion of convergence of dissipative solutions. We establish the existence of minimal elements. Minimizing the acceleration amounts to selecting dissipative solutions that are as close to being a weak solution as possible.
Cite
@article{arxiv.2005.03570,
title = {Minimal acceleration for the multi-dimensional isentropic Euler equations},
author = {Michael Westdickenberg},
journal= {arXiv preprint arXiv:2005.03570},
year = {2022}
}