Identification results for inverse source problems in unsteady Stokes flows. (6th January 2015)

• Record Type: Journal Article
• Authors: Martins, Nuno F M
• Is Part Of: Inverse problems. Volume 31:Number 1(2015:Jan.)
• Publication Date: 2015-01-06
• Subjects: inverse source problems -- Brinkman flows -- unsteady Stokes equations; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/0266-5611/31/1/015004
• Languages: English
• ISSNs: 0266-5611

Abstract

Abstract: We establish identification results in an inverse source problem for the two-dimensional Brinkman equations. This identification problem is cast in the context of a nondestructive evaluation problem that consists in retrieving a pair of forces, namely a body force and a divergence force, from the corresponding Cauchy data. Results are established for data obtained from a single measurement and from several measurements. Extension to three-dimensional problems is also discussed.