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Infinite Prandtl number limit of Rayleigh‐Bénard convection
Author(s) -
Wang Xiaoming
Publication year - 2004
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.3047
Subject(s) - prandtl number , limit (mathematics) , rayleigh–bénard convection , mathematics , convection , infinity , rayleigh number , magnetic prandtl number , rayleigh scattering , mathematical analysis , mechanics , natural convection , physics , nusselt number , reynolds number , optics , turbulence
We rigorously justify the infinite Prandtl number model of convection as the limit of the Boussinesq approximation to the Rayleigh‐Bénard convection as the Prandtl number approaches infinity. This is a singular limit problem involving an initial layer. © 2003 Wiley Periodicals, Inc.
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