The Oberbeck–Boussinesq approximation and Rayleigh–Bénard convection revisited
Copyright policy )The Oberbeck–Boussinesq approximation and Rayleigh–Bénard convection revisited
We consider the Oberbeck--Boussinesq approximation driven by an inhomogeneous temperature distribution on the boundary of a bounded fluid domain. The relevant boundary conditions are perturbed by a non--local term arising in the incompressible limit of the Navier--Stokes--Fourier system. The long time behaviour of the resulting initial/boundary value problem is investigated.
- University of Pavia Italy
- Czech Academy of Sciences Czech Republic
- National Research Council Italy
- Academy of Sciences Library Czech Republic
long-time behaviour, Navier-Stokes-Fourier system, Oberbeck-Boussinesq approximation, Rayleigh-Bénard convection, uniform temperature bound, long–time behaviour, Diffusive and convective heat and mass transfer, heat flow, convergence to equilibrium, 510, non-local boundary conditions, non-local boundary condition, Mathematics - Analysis of PDEs, Boussinesq analogy, Oberbeck–Boussinesq approximation, Free convection, FOS: Mathematics, non–local boundary conditions, Navier-Stokes equations, Rayleigh-Bénard convection, Existence, uniqueness, and regularity theory for incompressible viscous fluids, Analysis of PDEs (math.AP)
long-time behaviour, Navier-Stokes-Fourier system, Oberbeck-Boussinesq approximation, Rayleigh-Bénard convection, uniform temperature bound, long–time behaviour, Diffusive and convective heat and mass transfer, heat flow, convergence to equilibrium, 510, non-local boundary conditions, non-local boundary condition, Mathematics - Analysis of PDEs, Boussinesq analogy, Oberbeck–Boussinesq approximation, Free convection, FOS: Mathematics, non–local boundary conditions, Navier-Stokes equations, Rayleigh-Bénard convection, Existence, uniqueness, and regularity theory for incompressible viscous fluids, Analysis of PDEs (math.AP)
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