Šárka Nečasová, Institute of Mathematics, The Czech Academy of Sciences, Žitná 25, 115 67 Praha 1, Czech Republic, e-mail: matus@math.cas.cz; Jörg Wolf, Humboldt-Universität zu Berlin, Department of Mathematics, Unter den Linden 6, D-10099 Berlin, Germany, e-mail: jwolf@mathematik.hu-berlin.de
Abstract: We study a linear system of equations arising from fluid motion around a moving rigid body, where rotation is included. Originally, the coordinate system is attached to the fluid, which means that the domain is changing with respect to time. To get a problem in the fixed domain, the problem is rewritten in the coordinate system attached to the body. The aim of the present paper is the proof of the existence of a strong solution in a weighted Lebesgue space. In particular, we prove the existence of a global pressure gradient in $L^2$.
Keywords: incompressible fluid; rotating rigid body; strong solution
Classification (MSC 2010): 35Q35
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