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Nonlinear Partial Differential Equations : the Abel Symposium 2010
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SYSNO ASEP 0369966 Document Type M - Monograph Chapter R&D Document Type Monograph Chapter Title On the Oberbeck-Boussinesq approximation on unbounded domains Author(s) Feireisl, Eduard (MU-W) RID, SAI, ORCID
Schonbek, M.E. (US)Source Title Nonlinear Partial Differential Equations : the Abel Symposium 2010. - Berlin : Springer, 2012 / Holden H. ; Karlsen K.H. - ISBN 978-3-642-25360-7 Pages s. 131-168 Number of pages 38 s. Number of copy 500 Number of pages 360 Language eng - English Country DE - Germany Keywords Oberbeck-Boussinesq system ; singular limit ; unbounded domain Subject RIV BA - General Mathematics R&D Projects GA201/09/0917 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10190503 - MU-W (2005-2011) EID SCOPUS 84875132664 DOI 10.1007/978-3-642-25361-4_7 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2012
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