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On the linear problem arising from motion of a fluid around a moving rigid body. (English) Zbl 1349.35302
Summary: 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 \(L^2\).

35Q35 PDEs in connection with fluid mechanics
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