Energy equality for the compressible primitive equations with vacuum

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F25%3A00639030" target="_blank" >RIV/67985840:_____/25:00639030 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s00021-025-00970-y" target="_blank" >https://doi.org/10.1007/s00021-025-00970-y</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00021-025-00970-y" target="_blank" >10.1007/s00021-025-00970-y</a>

Result language
angličtina
Original language name
Energy equality for the compressible primitive equations with vacuum
Original language description
The paper deals with the problem of the energy conservation for the weak solutions to the compressible Primitive Equations (CPE) system with degenerate viscosity. The sufficient conditions on the regularity of weak solutions for the energy equality are obtained even for the case when the solutions may include vacuum. In this paper, we show two theorems, the first one gives regularity in the classical isotropic Sobolev and Besov spaces. The second one states regularity in the anisotropic spaces. We obtain new regularity results in the second theorem due to the special structure of CPE system, which are in contrast to compressible Navier-Stokes equations.
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
<a href="/en/project/GA22-01591S" target="_blank" >GA22-01591S: Mathematical theory and numerical analysis for equations of viscous newtonian compressible fluids</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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