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The Oberbeck--Boussinesq approximation and Rayleigh--Benard convection revisited

2024/02/09 by Eduard Feireisl, Feireisl, Eduard, Elisabetta Rocca +3
Engineering · #Fluid Dynamics and Turbulent Flows #Nanofluid Flow and Heat Transfer

paper · pdf · doi:10.48550/arxiv.2402.06554

Abstract

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.

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