Minimal acceleration for the multi-dimensional isentropic Euler equations

Autor:	Westdickenberg, Michael
Rok vydání:	2020
Předmět:	Mathematics - Analysis of PDEs 35L65 35A15 35D30 35L03
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2005.03570 Zobrazit plný text záznamu View this record from Arxiv