Boundary layers associated with the 3-D Boussinesq system for Rayleigh–Bénard convection |
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| Authors: | Xiaoting Fan Wen-Qing Xu Shu Wang |
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| Institution: | 1. College of Applied Sciences, Beijing University of Technology, Beijing, People's Republic of China;2. College of Applied Sciences, Beijing University of Technology, Beijing, People's Republic of China;3. Department of Mathematics and Statistics, California State University, Long Beach, CA, USA |
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| Abstract: | We investigate the boundary layer effects of the 3-D incompressible Boussinesq system for Rayleigh–Bénard convection with vanishing diffusivity limit. By adopting the multi-scale analysis and the asymptotic expansion methods of singular perturbation theory, we construct an exact approximating solution for the viscous and diffusive Boussinesq system with well-prepared initial data. In addition, we obtain the convergence result of the vanishing diffusivity limit. |
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| Keywords: | Ming Mei |
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