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arXiv · 2206.15130

The Oberbeck-Boussinesq system with non-local boundary conditions

Anna Abbatiello·Eduard Feireisl
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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 number. The existence of strong solutions is shown on a maximal time interval $[0, T_{\rm max})$. Moreover, $T_{\rm max} = \infty$ in the two dimensional setting.

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Anna Abbatiello, Eduard Feireisl. 2022-06-30. The Oberbeck-Boussinesq system with non-local boundary conditions. https://arxiv.org/abs/2206.15130

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