Compressible Navier-Stokes system on a moving domain in the Lp-Lq framework

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F21%3A00542806" target="_blank" >RIV/67985840:_____/21:00542806 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/978-3-030-68144-9_5" target="_blank" >http://dx.doi.org/10.1007/978-3-030-68144-9_5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-030-68144-9_5" target="_blank" >10.1007/978-3-030-68144-9_5</a>

Result language
angličtina
Original language name
Compressible Navier-Stokes system on a moving domain in the Lp-Lq framework
Original language description
We prove the local well-posedness for the barotropic compressible Navier-Stokes system on a moving domain, a motion of which is determined by a given vector field V, in a maximal Lp − Lq regularity framework. Under additional smallness assumptions on the data we show that our solution exists globally in time and satisfies a decay estimate. In particular, for the global well-posedness we do not require exponential decay or smallness of V in Lp(Lq). However, we require exponential decay and smallness of its derivatives.
Czech name
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Czech description
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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
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Waves in Flows: The 2018 Prague-Sum Workshop Lectures
ISBN
978-3-030-68143-2
ISSN
2297-0320
e-ISSN
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Number of pages
32
Pages from-to
127-158
Publisher name
Birkhäuser
Place of publication
Cham
Event location
Prague
Event date
Aug 27, 2018
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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