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Solvability of the problem of the self-propelled motion of several rigid bodies in a viscous incompressible fluid

✍ Scribed by Victor N. Starovoitov

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
464 KB
Volume
53
Category
Article
ISSN
0898-1221

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✦ Synopsis

In this paper, we investigate the problem of the motion of self-propelled rigid bodies in a viscous incompressible fluid filling a bounded container. The motion of the fluid is governed by the Navier-Stokes equations. The bodies move due both to the flow of the ambient fluid and to the engines which are modelled by fluxes of the fluid through the boundaries of the bodies. It is proved that the problem has at least one weak solution on an arbitrary time interval which does not include instants of collisions of the bodies.

πŸ“œ SIMILAR VOLUMES

Motion of a rigid body in a viscous flui
Motion of a rigid body in a viscous fluid
✍ Carlos Conca; Jorge San MartΓ­n H.; Marius Tucsnak πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 379 KB

We introduce a concept of weak solution for a boundary value problem modelling the motion of a rigid body immersed in a viscous fluid. The time variation of the fluid's domain (due to the motion of the rigid body) is not known a priori, so we deal with a free boundary value problem. Our main theorem