Sini, Mourad:Post Doctorial Fellow,Applied Mathematics
- Localization of eigenvalues, Identification of coefficients, Dirichlet-Neumann map, Elastography
- Research Interest:
- Inverse Problems and Spectral theory of operators
- Research Activities:
- 1) I started by studying some spectral properties of operators related
to the isotropic elsatic system, a) topographical elastic wave guides b)
absence of embedded eigenvalues for the stratified and perturbed
elastic whole and half spaces.
2) I am working also in the field of inverse problems :
We gave some uniqueness results for the one dimensional inverse spectral
problem considering discontinuous coefficients.
We gave also some uniqueness and reconstruction results on inverse
dynamical problems for one dimensional systems, i.e the one dimensional
model of connected beams.
We are working on the inverse problems for guided
waves, i.e ocean acoustics.
We are also started to work on the elastography problem. In
particular we are interested in identifying
discontinuities of materials from interior measurements.