Well-posedness for compressible Rayleigh-Bénard convection
Well-posedness for compressible Rayleigh-Bénard convection
Dongfen BIAN1(), Boling GUO2
1. The Graduate School of China Academy of Engineering Physics, Beijing 100088, China; 2. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
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 ? ?2. 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.
. Well-posedness for compressible Rayleigh-Bénard convection[J]. Frontiers of Mathematics in China, 2013, 8(6): 1253-1264.
Dongfen BIAN, Boling GUO. Well-posedness for compressible Rayleigh-Bénard convection. Front Math Chin, 2013, 8(6): 1253-1264.
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