Membres

Travaux récents

Publications

• A. El Hajj, “Global existence and uniqueness for a non-conservative Burgers type system describing the dynamics of dislocation densities”, SIAM Journal on Mathematical Analysis, 39 (2007), pp. 965-986.
• A. El Hajj, N. Forcadel, “A convergent scheme for a non-local coupled system modelling the dynamics of dislocation densities”, Mathematics of Computation, 77 (2008), pp. 789-812.
• A. El Hajj, H. Ibrahim, R. Monneau, “Derivation and study of dynamical models of dislocation densities”, ESAIM : Proceedings, 27 (2009), pp. 227-239.
• A. El Hajj, H. Ibrahim, R. Monneau, “Homogenization of dislocation dynamics”, Materials Science and Engineering, 3 (2009) 012023.
• A. El Hajj, H. Ibrahim, R. Monneau, “Dislocation dynamics : from microscopic models to macroscopic crystal plasticity”, Continuum Mechanics and Thermodynamics, 21 (2009), pp. 109-123.
• M. Cannone, A. El Hajj, R. Monneau and F. Ribaud, “Global existence for a system of nonlinear and non-local transport equations describing the dynamics of dislocation densities”, Arch. Rational Mech. Anal. 196 (2010), pp. 71-96.
• A. El Hajj, “Short time existence and uniqueness in Hölder spaces for the 2D dynamics of dislocation densities”, Annales de l’IHP (C) Non Linear Analysis, 27 (2011), pp. 21-35.
• A. El Hajj, R. Monneau, “Global continuous solutions to diagonalizable hyperbolic systems with large and monotone data”, Journal of Hyperbolic Differential Equations, Vol 7, 1 (2012), pp. 1-26.
• , A. El Badia, A. El Hajj, “Hölder stability estimates for some inverse pointwise source problems”, C. R. Acad. Sci. Paris Sér. I Math, 350 (2012), pp. 1031-1035.
• A. El Badia, A. El Hajj, “Identification of dislocations in materials from boundary measurements”, SIAM Journal on Applied Mathematics, 73-1 (2013), pp. 84-103.
• A. El Hajj, R. Monneau, “Some uniqueness results for diagonal hyperbolic systems with large and monotone data”, Journal of Hyperbolic Differential Equations, 10 (2013), pp. 461-494.
• A. El Badia, A. El Hajj, “Stability estimates for an inverse source problem of Helmholtz’s equation from a single Cauchy data at fixed frequency”, Inverse Problems, 29 (2013), 468383.
• B. Abdelaziz, A. El Badia, A. El Hajj, “Reconstruction of extended sources with small supports in the elliptic equation ∆u + μu = F from a single Cauchy data”, C. R. Acad. Sci. Paris Sér. I Math, 351 (2013), pp. 797-801.
• B. Abdelaziz, A. El Badia, A. El Hajj, “Identification of pointwise sources in a bioluminescent tomography problem”, ESAIM : Proceedings, 45 (2014), pp. 390-399.
• R. Boudjerada, A. El Hajj, M. Said Moulay, “Existence result for one-dimensional eikonal equation”, C. R. Acad. Sci. Paris Sér. I Math, 353 (2015), pp. 133-137.
• B. Abdelaziz, A. El Badia, A. El Hajj, “Direct algorithm for multipolar sources reconstruction”, Journal of Mathematical Analysis and Applications, 428 (2015), pp. 306-336.
• R. Boudjerada, A. El Hajj, “Global existence result for eikonal equation with BV initial data”, Nonlinear Differential Equations and Applications, 22, (2015), pp 947-978.
• B. Abdelaziz, A. El Badia, A. El Hajj, “Direct algorithms for solving some inverse source problems in 2D elliptic equations”, Inverse Problems, 31, (2015), 105002.
• A. El Badia, A. El Hajj, M. Jazar, H. Moustafa, “Lipschitz stability estimates for an inverse source problem in an elliptic equation from interior measurements”, Appl. Anal. 95 (2016), no. 9, pp. 1873-1890.
• B. Abdelaziz, A. El Badia, A. El Hajj, “Some remarks on the small inhomogeneities reconstruction problem”, Inverse Problems and Imaging, 11 (2017), no. 6, 1027 - 1046.
• A. El Badia, A. El Hajj, M. Jazar, H. Moustafa, “Logarithmic stability estimates for an inverse source problem from interior measurements”, Applicable Analysis, 97 (2018), no. 2, pp. 274-294.
• A. El Hajj, H. Ibrahim, V. Rizik, "Global BV solution for a non-local coupled system modelling dislocations densities dynamics", Journal of Differential Equations, 264 (2018), no. 3, pp. 1750–1785.
• A. El Hajj, "Global solution for a non-local eikonal equation modelling dislocation dynamics", Nonlinear Analysis, 168 (2018), pp. 154-175.
• A. El Badia, A. El Hajj, M. Jazar, H. Moustafa, "Identification of point sources in an elliptic equation from interior measurements : Application to a seawater intrusion problem", Journal of Inverse and Ill-posed Problems, 27 (2019), no. 4, pp. 559-574.
• A. El Hajj, H. Ibrahim, "The Dirichlet problem for semilinear elliptic equations in an infinite sector", Annali di Matematica Pura ed Applicata, 198, (2019), pp. 1551-1561.
• R. M. Ahmed Bacha, A. El Badia, A. El Hajj, S. Mottelet, "Identification of physical parameters in pressing of rapeseeds from the oil flux measurements", Math. Methods Appl. Sci. 43 (2020), no. 15, 8379-8405.
• A. El Hajj, A. Oussayli, "Existence and uniqueness of continuous solution for a non-local coupled system modeling the dynamics of dislocation densities", Journal of Nonlinear Science, 31 (2021) pp. 1-41.
• R. Boudjerada, A. El Hajj, A. Oussayli, "Convergence of an implicit scheme for diagonal nonconservative hyperbolic systems", ESAIM : M2AN 55 (2021) S573-S591.
• A. El Hajj, H. Ibrahim, V. Rizik, "BV solution for a non-linear Hamilton Jacobi system", DCDS-(A), 41(7), (2021), pp. 3273-3293.
• M. Al Zohbi, A. El Hajj, M. Jazar, "Global existence to a diagonal hyperbolic system for any BV initial data", Nonlinearity 34 (2021) 5485.
• A. El Hajj, H. Ibrahim, V. Rizik, "Global discontinuous solution for 1D isentropic gas dynamics system", Communications in Mathematical Sciences, Vol. 19, No. 5 (2021), pp. 1451-1459.
• A. El Hajj, A. Oussayli, "Continuous solution for a non-linear eikonal system", Communications on Pure & Applied Analysis, 20 (11), (2021), pp. 3795-3823.
• B. Abdelaziz, A. El Badia, A. El Hajj, “Identification of small-sized dislocations using direct”, Problems and Imaging, 16 (1), (2022), pp. 197-214.
• M. Al Zohbi, A. El Hajj, M. Jazar, " Convergent semi-explicit scheme to a non-linear eikonal system", BIT Numerical Mathematics 62, 1841-1872 (2022).
• A. El Hajj, A. Oussayli, "Convergent scheme for a non-local transport system modeling dislocations dynamics", à apparaître dans Journal of Computational and Applied Mathematics.
• M. Al Zohbi, A. El Hajj, "Existence and uniqueness results to a system of Hamilton-Jacobi equations", soumis.