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.
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