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VOL. 47.1 | 2007 Steady motions of the Navier-Stokes fluid around a rotating body
Toshiaki Hishida

Editor(s) Hideo Kozono, Takayoshi Ogawa, Kazunaga Tanaka, Yoshio Tsutsumi, Eiji Yanagida


Consider the 3-dimensional Navier-Stokes fluid filling an infinite space exterior to a rotating body with constant angular velocity. By using the coordinate system attached to the body, the problem is reduced to an equivalent one in the fixed exterior domain. The reduced equation then involves an important drift operator, which is not subordinate to the usual Stokes operator and causes some difficulties. Based on [13], [26] and [12], this survey article addresses steady solutions to the reduced problem.


Published: 1 January 2007
First available in Project Euclid: 16 December 2018

zbMATH: 1137.35410
MathSciNet: MR2387229

Digital Object Identifier: 10.2969/aspm/04710117

Rights: Copyright © 2007 Mathematical Society of Japan


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