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, Tmax). Moreover, Tmax = ∞ in the two-dimensional setting
THE OBERBECK–BOUSSINESQ SYSTEM WITH NON-LOCAL BOUNDARY CONDITIONS
Abbatiello A.;
2023
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, Tmax). Moreover, Tmax = ∞ in the two-dimensional settingFile in questo prodotto:
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