Homogenization of the unsteady compressible Navier-Stokes equations for adiabatic exponent γ > 3
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00576363" target="_blank" >RIV/67985840:_____/23:00576363 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/23:10473661
Result on the web
<a href="https://doi.org/10.1016/j.jde.2023.08.040" target="_blank" >https://doi.org/10.1016/j.jde.2023.08.040</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jde.2023.08.040" target="_blank" >10.1016/j.jde.2023.08.040</a>
Alternative languages
Result language
angličtina
Original language name
Homogenization of the unsteady compressible Navier-Stokes equations for adiabatic exponent γ > 3
Original language description
We consider the unsteady compressible Navier-Stokes equations in a perforated three-dimensional domain, and show that the limit system for the diameter of the holes going to zero is the same as in the perforated domain provided the perforations are small enough. The novelty of this result is the lower adiabatic exponent γ>3 instead of the known value γ>6. The proof is based on the use of two different restriction operators leading to two different types of pressure estimates. We also discuss the extension of this result for the unsteady Navier-Stokes-Fourier system as well as the optimality of the known results in arbitrary space dimension for both steady and unsteady problems.
Czech name
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Czech description
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Classification
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
Result continuities
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
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Differential Equations
ISSN
0022-0396
e-ISSN
1090-2732
Volume of the periodical
377
Issue of the periodical within the volume
December
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
26
Pages from-to
271-296
UT code for WoS article
001124052400001
EID of the result in the Scopus database
2-s2.0-85171188275