On a singular limit for the stratified compressible Euler system

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F19%3A00507994" target="_blank" >RIV/67985840:_____/19:00507994 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.3233/ASY-191518" target="_blank" >http://dx.doi.org/10.3233/ASY-191518</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3233/ASY-191518" target="_blank" >10.3233/ASY-191518</a>

Result language
angličtina
Original language name
On a singular limit for the stratified compressible Euler system
Original language description
We consider a singular limit for the compressible Euler system in the low Mach number regime driven by a large external force. We show that any dissipative measure-valued solution approaches a solution of the lake equation in the asymptotic regime of low Mach and Froude numbers. The result holds for the ill-prepared initial data creating rapidly oscillating acoustic waves. We use dispersive estimates of Strichartz type to eliminate the effect of the acoustic waves in the asymptotic limit.
Czech name
—
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
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA18-05974S" target="_blank" >GA18-05974S: Oscillations and concentrations versus stability in the equations of mathematical fluid dynamics</a><br>
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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