On weak-strong uniqueness and singular limit for the compressible primitive equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F20%3A00523995" target="_blank" >RIV/67985840:_____/20:00523995 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.3934/dcds.2020181" target="_blank" >http://dx.doi.org/10.3934/dcds.2020181</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3934/dcds.2020181" target="_blank" >10.3934/dcds.2020181</a>

Result language
angličtina
Original language name
On weak-strong uniqueness and singular limit for the compressible primitive equations
Original language description
The paper addresses the weak-strong uniqueness property and singular limit for the compressible Primitive Equations (PE). We show that a weak solution coincides with the strong solution emanating from the same initial data. On the other hand, we prove compressible PE will approach to the incompressible inviscid PE equations in the regime of low Mach number and large Reynolds number in the case of well-prepared initial data. To the best of the authors' knowledge, this is the first work to bridge the link between the compressible PE with incompressible inviscid PE.
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/GA19-04243S" target="_blank" >GA19-04243S: Partial differential equations in mechanics and thermodynamics of fluids</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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