On the low Mach number limit for the compressible Euler system

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
On the low Mach number limit for the compressible Euler system
Original language description
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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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