Prof. Abdessatar Khelifi

Department of Mathematics
Carthage University, Tunisia

Professor

Email: abdessatark@yahoo.fr

Qualifications

2002 Ph.D., Mathematics Department, Ecole Polytechnique, Palaiseau, France

1999 M.Sc., Mathematics Department, Pierre and Marie Curie University (UPMC), Paris, France

Publications (Selected)

1. A. Khelifi, and S. Boujemaa. Boundary layer method for solving full Maxwell equations in the presence of an electromagnetic inhomogeneity of small diameter. Journal of Mathematical Analysis and Applications 505.2 (2022): 125584.
2. H. Lihiou, and A. Khelifi , An integral equation method for the Helmholtz problem in the presence of small anisotropic inclusions. Complex Variables and Elliptic Equations 67.2 (2022): 384-400.
3. C. Daveau, S. Bornhofen, A. Khelifi, and B. Naisseline. Identification of deformable droplets from boundary measurements: the case of non-stationary Stokes problem. Inverse Problems in Science and Engineering 29, no. 13 (2021): 3451-3474.
4. A. Jbalia and A. Khelifi; On the identification of the heat conductivity distribution from partial dynamic boundary measurements. Appl. Anal. 13 (2021), 2735-2748.
5. M. Gozzi and A. Khelifi, On the behavior of resonant frequencies in the presence of small anisotropic imperfections, Indagationes Mathematicae, Vol. 28, No. 6, (2017) 1240-1257.
6. C. Daveau, A. Khelifi and I. Balloumi, Asymptotic behaviors for eigenvalues and eigenfunctions associated to Stokes operator in the presence of small boundary perturbations. Math Phys Anal Geom (2017) 20: 13.
7. A. Khelifi, L. El Asmi and M. Bouraoui, Reconstruction of polygonal inclusions in a heat conductive body from dynamical boundary data. ESAIM: M2AN, 51 3 (2017) 949-964.
8. A. Khelifi and S. Boujemaa, Small perturbation of a surface: full Maxwell’s equations. J. Math. Anal. Appl. 444, No. 2, 1721-1738 (2016).
9. C. Daveau , Douady, Diane Manuel, A. Khelifi and Sushchenko, Anton, Numerical solution of an inverse initial boundary-value problem for the full time-dependent Maxwell's equations in the presence of imperfections of small volume. Appl. Anal. 92, No. 5, 975-996 (2013).
10. A. Khelifi and H. Zribi, Asymptotic expansions for the voltage potentials with two- and three-dimensional thin interfaces. Math. Methods Appl. Sci. 34, No. 18, (2011), 2274-2290.
11. C. Daveau, A. Khelifi and A. Shushenko, Reconstruction of closely spaced small inhomogeneities via boundary measurements for the full time-dependent Maxwell's equations, Appl. Math. Modelling 33, No. 3,(2009) 1719-1728.
12. A. Khelifi, Determination of small amplitude perturbations for the electric permittivity from partial dynamic boundary measurements. J. Math. Phys. 48 (2007), no. 12, 123501, 10 pp.
13. C.Daveau, Douady, Diane Manuel and A. Khelifi, On a hyperbolic coefficient inverse problem via partial dynamic boundary measurements. J. Appl. Math. , 14 p. (2010).
14. A. Khelifi, Asymptotic property and convergence estimation for the eigenelements of the Laplace operator. Appl. Anal. 86 (2007), no. 10, 1249-1264.
15. H. Ammari and A. Khelifi, Electromagnetic scattering by small dielectric inhomogeneities. J. Math. Pures Appl. (9) 82 (2003), no. 7, 749-842.