MR2108674
Okihiro SAWADA and Yasushi TANIUCHI
Okihiro SAWADA and Yasushi TANIUCHI
On the Boussinesq Flow with Nondecaying Initial Data
Funkcialaj Ekvacioj. Serio Internacia
47
2004
225--250
http://fe.math.kobe-u.ac.jp/FE/FullPapers/47-2/47_225.pdf
http://www.ams.org/mathscinet-getitem?mr=MR2108674
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.
Boussinesq equations, Nondecaying initial data, Uniqueness.
35Q35.
47-225
2004
On the Boussinesq Flow with Nondecaying Initial Data
Okihiro SAWADA and Yasushi TANIUCHI
Okihiro SAWADA and Yasushi TANIUCHI
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