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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Self-similarity in viscous Boussinesq equations
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by Grzegorz Karch and Nicolas Prioux PDF
Proc. Amer. Math. Soc. 136 (2008), 879-888 Request permission

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
  • 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
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 136 (2008), 879-888
  • MSC (2000): Primary 35Q30; Secondary 35B40, 76D05
  • DOI: https://doi.org/10.1090/S0002-9939-07-09063-6
  • MathSciNet review: 2361860