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Strong solutions to the problem of motion of a rigid body in a Navier-Stokes liquid under the action of prescribed forces and torques. (English) Zbl 1046.35084
Birman, Michael Sh. (ed.) et al., Nonlinear problems in mathematical physics and related topics I. In honor of Professor O. A. Ladyzhenskaya. New York, NY: Kluwer Academic/Plenum Publishers (ISBN 0-306-47333-X). Int. Math. Ser., N.Y. 1, 121-144 (2002).
Summary: This paper is devoted to the motion of a rigid body in an infinite Navier-Stokes liquid under the action of external forces and torques. For sufficiently regular data, we prove the existence of a local strong solution to the corresponding initial-boundary-value problem for the system body-liquid.
For the entire collection see [Zbl 0998.00008].

MSC:
35Q30 Navier-Stokes equations
76D03 Existence, uniqueness, and regularity theory for incompressible viscous fluids
76D05 Navier-Stokes equations for incompressible viscous fluids
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