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ISSN 1088-6826(e) ISSN 0002-9939(p)

Self-similarity in viscous Boussinesq equations

Author(s): Grzegorz Karch; Nicolas Prioux
Journal: Proc. Amer. Math. Soc. 136 (2008), 879-888.
MSC (2000): Primary 35Q30; Secondary 35B40, 76D05
Posted: 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.

References:

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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: 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
Posted: 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
Copyright of article: Copyright 2007, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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