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June 1992 Global Solutions for the Heat Convection Equations in an Exterior Domain
Toshiaki HISHIDA, Yoshio YAMADA
Tokyo J. Math. 15(1): 135-151 (June 1992). DOI: 10.3836/tjm/1270130257

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.

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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

Information

Published: June 1992
First available in Project Euclid: 1 April 2010

zbMATH: 0779.35089
MathSciNet: MR1164192
Digital Object Identifier: 10.3836/tjm/1270130257

Rights: Copyright © 1992 Publication Committee for the Tokyo Journal of Mathematics

Vol.15 • No. 1 • June 1992
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