- ANR Multiwave project 2017-2021
- LUG2 project 2017-2019
- Graphene project 2017-2018
- Inverse problems and Applications 2014-2016

Here are recent papers on inverse problems and mathematical modeling in nano-optics.

- Kaïs Ammari, Faouzi Triki. On Weak Observability for Evolution Systems with Skew-Adjoint Generators. submitted. arXiv preprint arXiv:1807.06896, (2018).
- Faouzi Triki, Darko Volkov. Stability estimates for the fault inverse problem. submitted. arXiv preprint arXiv:1807.06896, (2018).
- Habib Ammari, Mihai Putinar, Andries Steenkamp, Faouzi Triki. Identification of an algebraic domain in two dimensions from a finite number of its generalized polarization tensors. submitted. arXiv preprint arXiv:1807.00396, (2018).
- Eric Bonnetier, Charles Dapogny, Faouzi Triki, Hai Zhang. The plasmonic resonances of a bowtie antenna. To appear in Analysis in Theory and Applications (2018).
- E Bonnetier, F Triki, Q Xue. An inverse problem for an electroseismic model describing the coupling phenomenon of electromagnetic and seismic waves. submitted. arXiv preprint arXiv:1804.00878 (2018).
- Mourad Choulli, Faouzi Triki. Hölder Stability for an Inverse Medium Problem with internal Data, submitted (2017). hal-01661621v1.
- Eric Bonnetier, Faouzi Triki, Chun-Hsiang Tsou. On the electro-sensing of weakly electric fish, to appear in Journal of Mathematical Analysis and Applications (2018).
- Faouzi Triki, Chun-Hsiang Tsou. Inverse inclusion problem: A stable method to determine disks, submitted (2017).
- Kaïs Ammari, Mourad Choulli, Faouzi Triki. How to use observability inequalities to solve some inverse problems for evolution equations? An unified approach, submitted (2017).
- K. Ren and F. Triki A Global stability estimate for the photo-acoustic inverse problem in layered media, to appear in in European Journal of Applied Mathematics (2018).
- H. Ammari, F. Triki and C-H. Tsou, Numerical determination of anomalies in multifrequency electrical impedance tomography, to appear in European Journal of Applied Mathematics (2018).
- E. Bonnetier, C. Dapogny, F. Triki, Homogenization of the eigenvalues of the Neumann-Poincaré operator, submitted (2017).
- F. Triki and M. Vauthrin, Mathematical modelization of the Photoacoustic effect generated by the heating of metallic nanoparticles, to appear in Quarterly of Applied Mathematics (2018).
- H. Ammari and F. Triki. Identification of an inclusion in Multifrequency Electric Impedance Tomography, Communications in Partial Differential Equations, Issue 1, Volume 42, Pages 159-177, (2017).
- K. Ammari, M. Choulli, F. Triki. Hölder stability in determining the potential and the damping coefficient in a wave equation, in revision (2017).
- J. Lagha, F. Triki, H. Zribi. Small Perturbations of an Interface for Elastostatic Problems, Mathematical Methods in the Applied Sciences, Volume 40, Issue 10, July (2017).
- E. Bonnetier, F. Triki and C.H. Tsou. Eigenvalues of the Neumann-Poincaré operator for two inclusions with contact of order m: A numerical study, J. Comp. Math., 36 (2018), pp. 17-28.
- Kais Ammari, Mourad Choulli, Faouzi Triki. Determining the potential in a wave equation without a geometric condition. Extension to the heat equation, Proc. Am. Math. Soc. 144, No. 10, 4381-4392 (2016).
- G. Bao, J. Lin, P. Li, and F. Triki, Inverse scattering problems with multi-frequencies, Inverse Problems, 31 (9) (2015).
- G. Bao and F. Triki, Stability estimates for the one dimensional multifrequency inverse medium problem, submitted, (2015).
- M. Choulli and F. Triki. New stability estimates for the inverse medium problem with internal data, SIAM J. Math. Anal. 47 (2015), no. 3, 1778–1799.
- Habib Ammari, Éric Bonnetier, Faouzi Triki & Michael Vogelius, Elliptic estimates in composite media with smooth inclusions: an integral equation approach, Ann. Sci. Éc. Norm. Supér. volume 48, no. 2, p50, (2015).
- E. Bonnetier and F. Triki. A Note on Reconstructing the Conductivity in Impedance Tomography by Elastic Perturbation.} In The Impact of Applications on Mathematics (pp. 275-282). Springer Japan (2014).
- Gang Bao and Faouzi Triki, Reconstruction of a defect in an open waveguide, Sci. China Math. 56 , no. 12, 2539–2548 (2013).
- Bonnetier, Eric and Triki, Faouzi, On the spectrum of the Poincaré variational problem for two close-to-touching inclusions in 2D. Arch. Ration. Mech. Anal. 209, no. 2, 541–567. (2013).
- G. Bal, E. Bonnetier, F. Monard, and F. Triki, Inverse diffusion from knowledge of power densities Inverse Problems and Imaging 7 (2), 353-375, (2013).