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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Self-similarity in viscous Boussinesq equations


Authors: Grzegorz Karch and Nicolas Prioux
Journal: Proc. Amer. Math. Soc. 136 (2008), 879-888
MSC (2000): Primary 35Q30; Secondary 35B40, 76D05
Published electronically: November 30, 2007
MathSciNet review: 2361860
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Abstract: We study the existence and the asymptotic stability as the time variable escapes to infinity of self-similar solutions to the viscous Boussinesq equations posed in the whole three dimensional space.


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Additional Information

Grzegorz Karch
Affiliation: Instytut Mathematyczny, Uniwersytet Wroclawski, pl. Grunwaldzki 2/4, 50-384, Wroclaw, Poland
Email: karch@math.uni.wroc.pl

Nicolas Prioux
Affiliation: Laboratoire d’Analyse et de Mathématiques Appliquées, Université de Marne-la-Vallée, Cité Descartes-5, bd Descartes, Champs-sur-Marne, 77454 Marne-la-Vallée Cedex 2, France
Email: nicolas.prioux@univ-mlv.fr

DOI: http://dx.doi.org/10.1090/S0002-9939-07-09063-6
PII: S 0002-9939(07)09063-6
Keywords: Natural convection, Boussinesq system, self-similar solutions, large time asymptotics
Received by editor(s): July 5, 2006
Published electronically: November 30, 2007
Additional Notes: The preparation of this paper by the first author was partially supported by the European Commission Marie Curie Host Fellowship for the Transfer of Knowledge “Harmonic Analysis, Nonlinear Analysis and Probability” MTKD-CT-2004-013389.
Communicated by: David S. Tartakoff
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.