Open Access
April, 2013 The Stokes flow around a rotating body in the whole space
Nadjet ABADA, Tahar Z. BOULMEZAOUD, Nabil KERDID
J. Math. Soc. Japan 65(2): 607-632 (April, 2013). DOI: 10.2969/jmsj/06520607

Abstract

We analyze in weighted $L^q$-spaces the linearized system of partial differential equations arising from the motion of a rotating obstacle in a fluid. We prove some existence, uniqueness and regularity results of decaying or growing weak solutions. Two auxiliary equations are also considered and treated.

Citation

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Nadjet ABADA. Tahar Z. BOULMEZAOUD. Nabil KERDID. "The Stokes flow around a rotating body in the whole space." J. Math. Soc. Japan 65 (2) 607 - 632, April, 2013. https://doi.org/10.2969/jmsj/06520607

Information

Published: April, 2013
First available in Project Euclid: 25 April 2013

zbMATH: 1283.35071
MathSciNet: MR3055597
Digital Object Identifier: 10.2969/jmsj/06520607

Subjects:
Primary: 35Q35
Secondary: 35Q30 , 76D03 , 76D07

Keywords: Navier-Stokes equations , rotating body , weighted L^q-theory

Rights: Copyright © 2013 Mathematical Society of Japan

Vol.65 • No. 2 • April, 2013
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