30 citations · 46 across the 5 of their papers we have counts for
6 papers
Sensitivity Analysis of the Current, the Electrostatic Capacity, and the Far-Field of the Potential with Respect to Small Perturbations in the Surface of a Conductor
Jihene Lagha, Habib Zribi
We derive asymptotic expansions of the current, the electrostatic capacity, and the far-field of the electrostatic potential resulting from small perturbations in the shape of an i…
Reconstructing Small Perturbations of an Obstacle for Acoustic Waves from Boundary Measurements on the Perturbed Shape Itself
Habib Zribi
We derive relationships between the shape deformation of an impenetrable obstacle and boundary measurements of scattering fields on the perturbed shape itself. Our derivation is ri…
An Asymptotic Expansion for Perturbations in the Displacement Field due to the Presence of Thin Interfaces
Jihene Lagha, Habib Zribi
We derive an asymptotic expansion for two-dimensional displacement field associated to thin elastic inhomogeneities having no uniform thickness. Our derivation is rigorous and base…
Small Perturbations of an Interface for Elastostatic Problems
Jihene Lagha, Faouzi Triki, Habib Zribi
We consider solutions to the Lamé system in two dimensions. By using systematic way, based on layer potential techniques and the field expansion (FE) method (formal derivation), we…
Progress on the Strong Eshelby's Conjecture and Extremal Structures for the Elastic Moment Tensor
Habib Ammari, Yves Capdeboscq, Hyeonbae Kang +3
We make progress towards proving the strong Eshelby's conjecture in three dimensions. We prove that if for a single nonzero uniform loading the strain inside inclusion is constant…
An Asymptotic Formalism for Reconstructing Small Perturbations of Scatterers from Electric or Acoustic Far-Field Measurements
Mikyoung Lim, Kaouthar Louati, Habib Zribi
We consider the problem of determining the boundary perturbations of an object from far-field electric or acoustic measurements. Assuming that the unknown object boundary is a smal…