Initial-boundary layer associated with the 3-D Boussinesq system for Rayleigh-Benard convection

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dc.contributor.authorFan, Xiaoting
dc.contributor.authorWang, Shu
dc.contributor.authorXu, Wen-Qing
dc.date.accessioned2021-09-22T16:41:38Z
dc.date.available2021-09-22T16:41:38Z
dc.date.issued2020-04-07
dc.description.abstractThis article concerns the initial-boundary layer effects of the 3-D incompressible Boussinesq system for Rayleigh-Benard convection with ill-prepared initial data. We consider a non-slip boundary condition for the velocity field and inhomogeneous Dirichlet boundary condition for the temperature. By means of multi-scale analysis and matched asymptotic expansion methods, we establish an accurate approximating solution for the viscous and diffusive Boussinesq system. We also study the convergence of the infinite Prandtl number limit.
dc.description.departmentMathematics
dc.formatText
dc.format.extent20 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationFan, X., Wang, S., Xu, W. Q. (2020). Initial-boundary layer associated with the 3-D Boussinesq system for Rayleigh-Benard convection. <i>Electronic Journal of Differential Equations, 2020</i>(31), pp. 1-20.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14535
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2020, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectBoussinesq system
dc.subjectRayleigh-Benard convection
dc.subjectInfinite Prandtl number limit
dc.subjectInitial-boundary layer
dc.subjectAsymptotic expansion
dc.titleInitial-boundary layer associated with the 3-D Boussinesq system for Rayleigh-Benard convection
dc.typeArticle

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