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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
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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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- 1.
- Bejan, A; Convection Heat Transfer, 2nd edition, John Wiley and Sons Inc., 1995.
- 2.
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- 9.
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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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