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.
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⟩