BOUSSINESQ EQUATIONS IN THIN SPHERICAL DOMAINS - Collections

＜departmental bulletin paper＞
BOUSSINESQ EQUATIONS IN THIN SPHERICAL DOMAINS

Creator	Creator Name Saito, Junichi 斉藤, 純一 Affiliation Affiliation Name Tokyo Metropolitan College of Aeronautical Engineering 東京都立航空工業高等専門学校
Language	English
Publisher	Faculty of Mathematics, Kyushu University
Publisher	九州大学大学院数理学研究院
Date	2005-09
Source Title	Kyushu Journal of Mathematics
Vol	59
Issue	2
First Page	443
Last Page	465
Publication Type	Version of Record
Access Rights	restricted access
Related DOI	isIdenticalTo https://doi.org/10.2206/kyushujm.59.443
Related DOI	Kyushu Journal of Mathematics \|\| 59(2) \|\| p443-465
Related DOI	http://www2.math.kyushu-u.ac.jp/~kjm/
Related URI	Kyushu Journal of Mathematics \|\| 59(2) \|\| p443-465
Related URI	http://www2.math.kyushu-u.ac.jp/~kjm/
Related URI
Related HDL
Relation	Kyushu Journal of Mathematics \|\| 59(2) \|\| p443-465
Relation	http://www2.math.kyushu-u.ac.jp/~kjm/
Abstract	The atmosphere is just the incompressible fluid occupying a thin layer around the earth. It is known that the equations describing its motion are the threedimensional (3D) incompressible Navier-Stokes... equations in thin spherical shells and the validity of the two-dimensional (2D) approximation of flows in thin spherical layers is proved. In this paper, we consider the 3D Boussinesq equations in thin spherical domains and prove the convergence of the average of weak solutions of the 3D Boussinesq equations to a 2D problem.show more