Frontiers of Mathematics in China >
Well-posedness for compressible Rayleigh-Bénard convection
Received date: 07 Oct 2012
Accepted date: 21 Aug 2013
Published date: 01 Dec 2013
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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.
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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