Research output: Contribution to journal › Article › peer-review
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. / Mestnikova, Anastasia Afanasievna; Starovoitov, Victor Nikolayevich; Starovoitova, Botagoz Nikolayevna.
In: Сибирские электронные математические известия, Vol. 14, 01.01.2017, p. 864-876.Research output: Contribution to journal › Article › peer-review
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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 -
ID: 22335197