Boundary layers associated with the 3-D Boussinesq system for Rayleigh–Bénard convection

DOI10.1080/00036811.2018.1553035zbMath1448.35392OpenAlexW2903236485MaRDI QIDQ5120798

Wei Wang, Xiaoting Fan, Shu Wang, Wen-Qing Xu

Publication date: 16 September 2020

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2018.1553035

zbMATH Keywords

asymptotic expansionboundary layersRayleigh-Bénard convectionBoussinesq systemvanishing diffusivity limit

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Singular perturbations in context of PDEs (35B25) Asymptotic expansions of solutions to PDEs (35C20) Free convection (76R10) Geophysical flows (76U60)

Related Items

Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Examples of boundary layers associated with the incompressible Navier-Stokes equations
• Boundary layer associated with the Darcy-Brinkman-Boussinesq model for convection in porous media
• Perturbations singulières dans les problèmes aux limites et en contrôle optimal
• The Euler limit of the Navier-Stokes equations, and rotating fluids with boundary
• Global Gevrey regularity for the Bénard convection in a porous medium with zero Darcy-Prandtl number
• Boundary layer theory and the zero-viscosity limit of the Navier-Stokes equation
• Boundary layers associated with incompressible Navier-Stokes equations: the noncharacteristic boundary case
• Regularity to Boussinesq equations with partial viscosity and large data in three-dimensional periodic thin domain
• Large Prandtl number behavior of the Boussinesq system of Rayleigh-Bénard convection.
• Vanishing viscosity plane parallel channel flow and related singular perturbation problems
• Boundary-layer effects for the 2-D Boussinesq equations with vanishing diffusivity limit in the half plane
• The initial layer problem and infinite Prandtl number limit of Rayleigh-Bénard convection
• Vorticity and Incompressible Flow
• Infinite Prandtl number limit of Rayleigh-Bénard convection
• Boundary layer associated with a class of 3D nonlinear plane parallel channel flows
• Asymptotic Analysis and Boundary Layers
• Attractors for the Bénard problem: existence and physical bounds on their fractal dimension
• Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
• Ekman layers of rotating fluids, the case of well prepared initial data
• Recent Developments in Rayleigh-Bénard Convection
• On Squirt Singularities in Hydrodynamics
• Some Remarks on Topological Fluid Mechanics