On the Oberbeck-Boussinesq approximation on unbounded domains

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F12%3A00369966" target="_blank" >RIV/67985840:_____/12:00369966 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/978-3-642-25361-4_7" target="_blank" >http://dx.doi.org/10.1007/978-3-642-25361-4_7</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-642-25361-4_7" target="_blank" >10.1007/978-3-642-25361-4_7</a>

Result language
angličtina
Original language name
On the Oberbeck-Boussinesq approximation on unbounded domains
Original language description
We study the Oberbeck-Boussinesq approximation describing the motion of an incompressible, heat-conducting fluid occupying a general unbounded domain in R3. We provide a rigorous justification of the model by means of scale analysis of the full Navier-Stokes-Fourier system in the low Mach and Froude number regime on large domains, the diameter of which is proportional to the speed of sound. Finally, we show that the total energy of any solution of the resulting Oberbeck-Boussinesq system tends to zero with growing time.
Czech name
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Czech description
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Project
<a href="/en/project/GA201%2F09%2F0917" target="_blank" >GA201/09/0917: Mathematical and computer analysis of the evolution processes in nonlinear viscoelastic fluid-like materials</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Book/collection name
Nonlinear partial differential equations : the Abel symposium 2010
ISBN
978-3-642-25360-7
Number of pages of the result
38
Pages from-to
131-168
Number of pages of the book
360
Publisher name
Springer
Place of publication
Berlin
UT code for WoS chapter
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