On the linear problem arising from motion of a fluid around a moving rigid body

0445819 - MÚ 2016 RIV CZ eng J - Journal Article
Nečasová, Šárka - Wolf, J.
On the linear problem arising from motion of a fluid around a moving rigid body.
Mathematica Bohemica. Roč. 140, č. 2 (2015), s. 241-259. ISSN 0862-7959
R&D Projects: GA ČR(CZ) GAP201/11/1304
Institutional support: RVO:67985840
Keywords : incompressible fluid * rotating rigid body * strong solution
Subject RIV: BA - General Mathematics
http://hdl.handle.net/10338.dmlcz/144329

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 L2.
Permanent Link: http://hdl.handle.net/11104/0247876