Conférences plénières > Conférence 1

Professeur Abdessatar Khelifi

Université de Carthage, Tunisie

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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