Funkcialaj Ekvacioj
Print ISSN : 0532-8721
On the Boussinesq Flow with Nondecaying Initial Data
Okihiro SawadaYasushi Taniuchi
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2004 Volume 47 Issue 2 Pages 225-250

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Abstract
This paper is concerned with the Boussinesq equations which describe the heat convection in a viscous incompressible fluid. Local existence and uniqueness theorems are established for the n-dimensional Boussinesq equations in the whole space with nondecaying initial data. In two dimensional case the solution can be extended globally in time without smallness of the initial data.
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© 2004 by the Division of Functional Equations, The Mathematical Society of Japan
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