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dc.contributor.authorFan, Xiaoting ( )
dc.contributor.authorWang, Shu ( )
dc.contributor.authorXu, Wen-Qing ( Orcid Icon 0000-0002-0080-002X )
dc.date.accessioned2021-09-22T16:41:38Z
dc.date.available2021-09-22T16:41:38Z
dc.date.issued2020-04-07
dc.identifier.citationFan, X., Wang, S., Xu, W. Q. (2020). Initial-boundary layer associated with the 3-D Boussinesq system for Rayleigh-Benard convection. Electronic Journal of Differential Equations, 2020(31), pp. 1-20.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/14535
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.en_US
dc.formatText
dc.format.extent20 pages
dc.format.medium1 file (.pdf)
dc.language.isoenen_US
dc.publisherTexas State University, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 2020, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectBoussinesq systemen_US
dc.subjectRayleigh-Benard convectionen_US
dc.subjectInfinite Prandtl number limiten_US
dc.subjectInitial-boundary layeren_US
dc.subjectAsymptotic expansionen_US
dc.titleInitial-boundary layer associated with the 3-D Boussinesq system for Rayleigh-Benard convectionen_US
dc.typepublishedVersion
txstate.documenttypeArticle
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
dc.description.departmentMathematics


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