An overview of some recent results on the Euler system of isentropic gas dynamics

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F16%3A00458832" target="_blank" >RIV/67985840:_____/16:00458832 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1007/s00574-016-0135-0" target="_blank" >http://dx.doi.org/10.1007/s00574-016-0135-0</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00574-016-0135-0" target="_blank" >10.1007/s00574-016-0135-0</a>

Jazyk výsledku

angličtina

Název v původním jazyce

An overview of some recent results on the Euler system of isentropic gas dynamics

Popis výsledku v původním jazyce

This overview is concerned with the well-posedness problem for the isentropic compressible Euler equations of gas dynamics. The results we present are in line with the programof investigatingthe efficiency of different selection criteria proposed in the literature in order to weed out non-physical solutions to more-dimensional systems of conservation laws and they build upon the method of convex integration developed by De Lellis and Székelyhidi for the incompressible Euler equations. Mainly following [5], we investigate the role of the maximal dissipation criterion proposed by Dafermos in [6]: we prove how, for specific pressure laws, some non-standard (i.e. constructed via convex integration methods) solutions to the Riemann problem for the isentropic Euler system in two space dimensions have greater energy dissipation rate than the classical self-similar solution emanating from the same Riemann data.

Název v anglickém jazyce

An overview of some recent results on the Euler system of isentropic gas dynamics

Popis výsledku anglicky

This overview is concerned with the well-posedness problem for the isentropic compressible Euler equations of gas dynamics. The results we present are in line with the programof investigatingthe efficiency of different selection criteria proposed in the literature in order to weed out non-physical solutions to more-dimensional systems of conservation laws and they build upon the method of convex integration developed by De Lellis and Székelyhidi for the incompressible Euler equations. Mainly following [5], we investigate the role of the maximal dissipation criterion proposed by Dafermos in [6]: we prove how, for specific pressure laws, some non-standard (i.e. constructed via convex integration methods) solutions to the Riemann problem for the isentropic Euler system in two space dimensions have greater energy dissipation rate than the classical self-similar solution emanating from the same Riemann data.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

—

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2016

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Bulletin of the Brazilian Mathematical Society

ISSN

1678-7544

e-ISSN

—

Svazek periodika

47

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

BR - Brazilská federativní republika

Počet stran výsledku

13

Strana od-do

241-253

Kód UT WoS článku

000372554400018

EID výsledku v databázi Scopus

2-s2.0-84961827124