On the low Mach number limit for the compressible Euler system

Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F19%3A00504564" target="_blank" >RIV/67985840:_____/19:00504564 - isvavai.cz</a>
Výsledek na webu
<a href="http://dx.doi.org/10.1137/17M1131799" target="_blank" >http://dx.doi.org/10.1137/17M1131799</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1137/17M1131799" target="_blank" >10.1137/17M1131799</a>

Jazyk výsledku
angličtina
Název v původním jazyce
On the low Mach number limit for the compressible Euler system
Popis výsledku v původním jazyce
In this paper, we propose a new approach to singular limits of inviscid fluid flows based on the concept of dissipative measure-valued solutions. We show that dissipative measure-valued solutions of the compressible Euler equations converge to the smooth solution of the incompressible Euler system when the Mach number tends to zero. This holds both for well-prepared and ill-prepared initial data, where in the latter case the presence of acoustic waves causes difficulties. However this effect is eliminated on certain unbounded domains and, in particular, on the whole space, thanks to dispersion.
Název v anglickém jazyce
On the low Mach number limit for the compressible Euler system
Popis výsledku anglicky
In this paper, we propose a new approach to singular limits of inviscid fluid flows based on the concept of dissipative measure-valued solutions. We show that dissipative measure-valued solutions of the compressible Euler equations converge to the smooth solution of the incompressible Euler system when the Mach number tends to zero. This holds both for well-prepared and ill-prepared initial data, where in the latter case the presence of acoustic waves causes difficulties. However this effect is eliminated on certain unbounded domains and, in particular, on the whole space, thanks to dispersion.

Projekt
—
Návaznosti
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění
2019
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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