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.
The Oberbeck–Boussinesq approximation and Rayleigh–Bénard convection revisited
Rocca, Elisabetta;Schimperna, Giulio
2024-01-01
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.File in questo prodotto:
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