Existence of weak solutions to the Navier-Stokes-Fourier system on Lipschitz domains

Result code in IS VaVaI
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Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Existence of weak solutions to the Navier-Stokes-Fourier system on Lipschitz domains
Original language description
We prove existence of a weak solution to the Navier-Stokes-Fourier system on a bounded Lipschitz domain in R3. The key tool is the existence theory for weak solutions developed by Feireisl for the case of bounded smooth domains. We prove our result by inserting an additional limit passage where smooth domains approximate the Lipschitz one. Results on sensitivity of solutions with respect to the convergence of spatial domains are shortly discussed at the end of the paper.
Czech name
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Czech description
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Project
<a href="/en/project/LC06052" target="_blank" >LC06052: The Nečas Center for Mathematical Modeling</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2007
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Dynamical Systems and Differential Equations. Proceedings of the 6th AIMS International Conference
ISBN
978-1-60133-010-9
ISSN
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e-ISSN
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Number of pages
10
Pages from-to
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Publisher name
American Institute of Mathematical Sciences
Place of publication
Springfield
Event location
Poitiers
Event date
Jun 25, 2006
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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