Singular limit for the compressible Navier-Stokes equations with the hard sphere pressure law on expanding domains

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00567597" target="_blank" >RIV/67985840:_____/23:00567597 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s00021-022-00750-y" target="_blank" >https://doi.org/10.1007/s00021-022-00750-y</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00021-022-00750-y" target="_blank" >10.1007/s00021-022-00750-y</a>

Result language
angličtina
Original language name
Singular limit for the compressible Navier-Stokes equations with the hard sphere pressure law on expanding domains
Original language description
The article is devoted to the asymptotic limit of the compressible Navier-Stokes system with a pressure obeying a hard–sphere equation of state on a domain expanding to the whole physical space R3. Under the assumptions that acoustic waves generated in the case of ill-prepared data do not reach the boundary of the expanding domain in the given time interval and a certain relation between the Reynolds and Mach numbers and the radius of the expanding domain we prove that the target system is the incompressible Euler system on R3. We also provide an estimate of the rate of convergence expressed in terms of characteristic numbers and the radius of domains.
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
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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