Record number :

854216

Title of article :

On the determination of point-forces on a Stokes system Original Research Article

Author/Authors :

C.J.S Alves، نويسنده , , A.L. Silvestre، نويسنده ,

Issue Information :

روزنامه با شماره پیاپی سال 2004

Pages :

13

From page :

385

To page :

397

Abstract :

We consider the steady Stokes equations in a bounded domain Ω⊂Rn,n=2,3 describing the motion of an incompressible viscous fluid under the action of point-forces located inside Ω. The objective of this work is to solve the inverse problem of determining the number, location and strength of the these point-forces.
The detection of the unknown point-forces is made by means of the prescribed fluid velocity at the boundary ∂Ω and by a single measurement of the stress exerted by the fluid on ∂Ω. The main tool is the use of a reciprocity gap function, which is obtained by applying a reciprocity gap functional to Stokeslets located outside Ω. This procedure leads to the resolution of a nonlinear minimization problem.

Keywords :

Point-forces , Reciprocity gap functional , Inverse problem , Stokes equation

Journal title :

Mathematics and Computers in Simulation

Serial Year :

2004

Link To Document :