THE STEADY PROBLEM OF THE MOTION OF A RIGID BALL IN A STOKES - POISEUILLE FLOW: DIFFERENTIABILITY OF THE SOLUTION WITH RESPECT TO THE BALL POSITION

THE STEADY PROBLEM OF THE MOTION OF A RIGID BALL IN A STOKES - POISEUILLE FLOW: DIFFERENTIABILITY OF THE SOLUTION WITH RESPECT TO THE BALL POSITION Full article

Journal

Сибирские электронные математические известия / Siberian Electronic Mathematical Reports
ISSN: 1813-3304

Output data

Year: 2017, Volume: 14, Pages: 864-876 Pages count : 13 DOI: 10.17377/semi.2017.14.073

Tags

VISCOUS FLUID, RIGID BODY, CYLINDRICAL PIPE, STEADY MOTION

Authors

Titova Anastasiia Afanasуevna ¹ , Starovoitov Victor Nikolaevich ¹ , Starovoitova Botagoz Nikolaevna ¹

Affiliations

1	Lavrentyev Institute of Hydrodynamics

This paper deals with the steady problem of the motion of a rigid body in a viscous incompressible fluid that fills a cylindrical domain. The fluid flow is governed by the Stokes equation and tends to Poiseuille flow at infinity. The body is a ball that moves according to the laws of classical mechanics. The unique solvability of this problem was proved in an earlier work of the authors. Here, the differentiability of the solution in the function space L2 with respect to the position of the ball is established.

Titova A.A. , Starovoitov V.N. , Starovoitova B.N.
THE STEADY PROBLEM OF THE MOTION OF A RIGID BALL IN A STOKES - POISEUILLE FLOW: DIFFERENTIABILITY OF THE SOLUTION WITH RESPECT TO THE BALL POSITION
Сибирские электронные математические известия / Siberian Electronic Mathematical Reports. 2017. V.14. P.864-876. DOI: 10.17377/semi.2017.14.073 WOS Scopus РИНЦ

Submitted:	May 2, 2017
Accepted:	Sep 14, 2017

Web of science:	WOS:000454861900006
Scopus:	2-s2.0-85074605207
Elibrary:	54806789

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