Abstract
A nonstationary problem of convection in the exterior domain to a heated sphere is studied. In the Boussinesq approximation, convection phenomena are governed by the system of the Navier-Stokes and heat equations. We find sufficient conditions on boundary and initial data to ensure the global existence of $L^p$-solutions for this system.
Citation
Toshiaki HISHIDA. Yoshio YAMADA. "Global Solutions for the Heat Convection Equations in an Exterior Domain." Tokyo J. Math. 15 (1) 135 - 151, June 1992. https://doi.org/10.3836/tjm/1270130257
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