Geodesic
On the linear problem arising from motion of a fluid around a moving rigid body
Mathematica Bohemica, Tome 140 (2015) no. 2, pp. 241-259

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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 $L^2$.
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 $L^2$.
DOI : 10.21136/MB.2015.144329
Classification : 35Q35, 76D05
Keywords: incompressible fluid; rotating rigid body; strong solution 
Nečasová, Šárka; Wolf, Jörg. On the linear problem arising from motion of a fluid around a moving rigid body. Mathematica Bohemica, Tome 140 (2015) no. 2, pp. 241-259. doi: 10.21136/MB.2015.144329
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