Existence of Weak Solutions for the Unsteady Interaction of a Viscous Fluid with an Elastic Plate
نویسندگان
چکیده
منابع مشابه
Existence of Weak Solutions for the Unsteady Interaction of a Viscous Fluid with an Elastic Plate
We consider a three–dimensional viscous incompressible fluid governed by the Navier–Stokes equations, interacting with an elastic plate located on one part of the fluid boundary. We do not neglect the deformation of the fluid domain which consequently depends on the displacement of the structure. The purpose of this work is to study the solutions of this unsteady fluid–structure interaction pro...
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چکیده ندارد.
15 صفحه اولExistence of weak solutions up to collision for viscous fluid-solid systems with slip
We study in this paper the movement of a rigid solid inside an incompressible Navier-Stokes flow, within a bounded domain. We consider the case where slip is allowed at the fluid/solid interface, through a Navier condition. Taking into account slip at the interface is very natural within this model, as classical no-slip conditions lead to unrealistic collisional behavior between the solid and t...
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We study the well-posedness of an unsteady fluid-structure interaction problem. We consider a viscous incompressible flow, which is modelled by the Navier-Stokes équations. The structure is a collection of rigid moving bodies, The fluid domain dépends on time and is defined by the position of the structure, itself resulting rrom a stress distribution coming from the fluid. The problem is then n...
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ژورنال
عنوان ژورنال: Journal of Mathematical Fluid Mechanics
سال: 2005
ISSN: 1422-6928,1422-6952
DOI: 10.1007/s00021-004-0121-y