The Oberbeck–Boussinesq system with non-local boundary conditions

Author:

Abbatiello Anna,Feireisl Eduard

Abstract

We consider the Oberbeck–Boussinesq system with non-local boundary conditions arising as a singular limit of the full Navier–Stokes–Fourier system in the regime of low Mach and low Froude numbers. The existence of strong solutions is shown on a maximal time interval [ 0 , T m a x ) [0, T_{\mathrm {max}}) . Moreover, T m a x = T_{\mathrm {max}} = \infty in the two-dimensional setting.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

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