TY - JOUR

T1 - The steady problem of the motion of a Rigid Ball in a stokes - Poiseuille flow

T2 - Differentiability of the solution with respect to the Ball Position

AU - Mestnikova, Anastasia Afanasievna

AU - Starovoitov, Victor Nikolayevich

AU - Starovoitova, Botagoz Nikolayevna

PY - 2017/1/1

Y1 - 2017/1/1

N2 - 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.

AB - 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.

KW - Cylindrical pipe

KW - Rigid body

KW - Steady motion

KW - Viscous fluid

UR - http://www.scopus.com/inward/record.url?scp=85074605207&partnerID=8YFLogxK

U2 - 10.17377/semi.2017.14.073

DO - 10.17377/semi.2017.14.073

M3 - Article

AN - SCOPUS:85074605207

VL - 14

SP - 864

EP - 876

JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

ER -