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The Stokes flow around a rotating body in the whole space

Nadjet Abada 1 Tahar Z. Boulmezaoud 2 Nabil Kerdid
1 Département de Mathématiques, Université Mentouri 1, Constantine
2 LMV - Laboratoire de Mathématiques de Versailles
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.
Keywords : Navier-Stokes equations rotating body weighted L-q-theory
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Submitted on : Wednesday, June 26, 2019 - 5:16:08 PM
Last modification on : Monday, February 10, 2020 - 6:13:49 PM

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Nadjet Abada, Tahar Z. Boulmezaoud, Nabil Kerdid. The Stokes flow around a rotating body in the whole space. Journal of the Mathematical Society of Japan, Maruzen Company Ltd, 2013, 65 (2), pp.607-632. ⟨10.2969/jmsj/06520607⟩. ⟨hal-02166380⟩

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