Well-posedness for compressible Rayleigh-Bénard convection

Dongfen Bian; Boling Guo

doi:10.1007/s11464-013-0330-x

Well-posedness for compressible Rayleigh-Bénard convection

Dongfen Bian^*, Boling Guo

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1253-1264
Number of pages	12
Journal	Frontiers of Mathematics in China
Volume	8
Issue number	6
DOIs	https://doi.org/10.1007/s11464-013-0330-x
Publication status	Published - Dec 2013
Externally published	Yes

Keywords

Compressible Rayleigh-Bénard convection
energy method
well-posedness

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10.1007/s11464-013-0330-x

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abstract = "The Rayleigh-B{\'e}nard convection is a classical problem in fluid dynamics. In this paper, we are concerned with the well-posedness for the compressible Rayleigh-B{\'e}nard 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-B{\'e}nard convection, before only results about incompressible Rayleigh-B{\'e}nard convection were done.",

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AB - 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.

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KW - energy method

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Well-posedness for compressible Rayleigh-Bénard convection

Abstract

Keywords

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