Frontiers of Mathematics in China >

2013 , Vol. 8 >Issue 6: 1253 - 1264

DOI: https://doi.org/10.1007/s11464-013-0330-x

RESEARCH ARTICLE

Well-posedness for compressible Rayleigh-Bénard convection

  • Dongfen BIAN , 1 ,
  • Boling GUO 2
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  • 1. The Graduate School of China Academy of Engineering Physics, Beijing 100088, China
  • 2. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

Received date: 07 Oct 2012

Accepted date: 21 Aug 2013

Published date: 01 Dec 2013

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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Abstract

The Rayleigh-Bénard convection is a classical problem in fluid dynamics. In this paper, we are concerned with the well-posedness for the compressible Rayleigh-Bénard convection in a bounded domain Ω ⊂ ℝ2. We prove the local well-posedness of the system with appropriate initial data. This is the result concerning compressible Rayleigh-Bénard convection, before only results about incompressible Rayleigh-Bénard convection were done.

Key words： Compressible Rayleigh-Bénard convection; well-posedness; energy method

Cite this article

Dongfen BIAN , Boling GUO . Well-posedness for compressible Rayleigh-Bénard convection[J]. Frontiers of Mathematics in China, 2013 , 8(6) : 1253 -1264 . DOI: 10.1007/s11464-013-0330-x

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