The Library
The motion of a fluid–rigid disc system at the zero limit of the rigid disc radius
Tools
Dashti, Masoumeh and Robinson, James C.. (2011) The motion of a fluid–rigid disc system at the zero limit of the rigid disc radius. Archive for Rational Mechanics and Analysis, Volume 200 (Number 1). pp. 285312. ISSN 00039527
Full text not available from this repository.
Official URL: http://dx.doi.org/10.1007/s0020501104017
Abstract
We consider the twodimensional motion of the coupled system of a viscous incompressible fluid and a rigid disc moving with the fluid, in the whole plane. The fluid motion is described by the NavierStokes equations and the motion of the rigid body by conservation laws of linear and angular momentum. We show that, assuming that the rigid disc is not allowed to rotate, as the radius of the disc goes to zero, the solution of this system converges, in an appropriate sense, to the solution of the NavierStokes equations describing the motion of only fluid in the whole plane. We also prove that the trajectory of the centre of the disc, at the zero limit of its radius, coincides with a fluid particle trajectory.
Item Type:  Journal Article  

Subjects:  Q Science > QA Mathematics  
Divisions:  Faculty of Science > Mathematics  
Library of Congress Subject Headings (LCSH):  Navier–Stokes equations, Viscous flow, Dynamics, Rigid  
Journal or Publication Title:  Archive for Rational Mechanics and Analysis  
Publisher:  Springer  
ISSN:  00039527  
Official Date:  April 2011  
Dates: 


Volume:  Volume 200  
Number:  Number 1  
Page Range:  pp. 285312  
Identification Number:  10.1007/s0020501104017  
Status:  Peer Reviewed  
Publication Status:  Published  
Access rights to Published version:  Restricted or Subscription Access  
Funder:  Warwick Postgraduate Research Fellowship , Engineering and Physical Sciences Research Council (EPSRC), European Research Council (ERC)  
Grant number:  EP/G007470/1 (EPSRC)  
References:  1. Adams, R.A.: Sobolev Spaces. Academic Press, New York, 1975 

URI:  http://wrap.warwick.ac.uk/id/eprint/41417 
Data sourced from Thomson Reuters' Web of Knowledge
Request changes or add full text files to a record
Actions (login required)
View Item 