Solvability of the Boundary-Value Problems for the Boussinesq Equations with Inhomogeneous Boundary Conditions |
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Authors: | G. V. Alekseev A. B. Smishliaev |
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Affiliation: | Computational Fluid Dynamics Laboratory, Institute for Applied Mathematics FEB RAS, Radio, 7, Vladivostok, 690041, Russia, RU
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Abstract: | The boundary-value problems for the stationary Boussinesq heat transfer equations with general non-standard boundary conditions for the velocity and mixed boundary conditions for the temperature are considered. The local and global existence theorems are proved. The precise a priori estimates for the solution are derived. |
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