Plenary conferences > Conference 1

Khelifi
 
 
Professor Abdessatar Khelifi
University of Carthage, Tunisia


 
 

Identification of interfaces via conductivity equations

 
 

Abstract: We derive rigorously asymptotic formulas for perturbations in the solutions of a conductivity problem due to small changes in the interface of a smooth inclusion. Taking advantage of small perturbations, we use a rigorous asymptotic analysis to develop an asymptotic formula. We assume that our results are ambitious tools to solve the inverse problem of identifying interface changes (deformations) of inclusions, given boundary measurements.

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