Ecole Navale

Radjesvarane ALEXANDRE

Diop, E.H.S., Alexandre, R., Boudraa, A.O., 2010, "Analysis of Intrinsic Mode Functions : A PDE Approach", IEEE Signal Processing Letters, April 2010, Vol. 17, Issue 4, pp. 398 - 401, DOI : 10.1109/LSP.2009.2038770 - lien externe
R Alexandre, Y Morimoto, S Ukai, CJ Xu, T, 2010, "Regularizing Effect and Local Existence for the Non-Cutoff Boltzmann Equation", Archive for Rational Mechanics and Analysis, Ed. Springer

Alexandre, R., Safadi, M., 2009, "Littlewood Paley Decomposition and Regularity Issues in Boltzmann Homogeneous Equations. II. Non Cutoff and non Maxwell Cases", DCDS-A, Vol 24-1, 1-11 (2009), 12 p. - lien externe
E. Diop, A. Boudraa, R. Alexandre, 2009, "A Pde Characterization of the Intrinsic Mode Functions", IEEE, ICASSP, 3429-3432, Taipei, Taiwan (2009), 5 pages
E. Diop, R. Alexandre, A.O. Boudraa, 2009, "A PDE Model for 2D Intrinsic Mode Functions", IEEE ICIP, 3961-3964, Cairo, Egypt (2009), 4 pages
R. Alexandre, 2009, "A Review on Boltzmann Equation with Singular Kernels", Kinetic and Related Models, Vol 2-4, 541-646 (2009), 98 pages
S. Bougacha, J.-L. Akian, R. Alexandre, 2009, "Gaussian Beams Summation for the Wave Equation in a Convex Domain", Comm. Maths Sciences, Vol 7-4, 973-1008 (2009), 36 pages
R. Alexandre, Y.Morimoto, S.Ukai, C.-J. Xu, T. Yang, 2009, "Existence of Local Solution for the Boltzmann Equation without Angular Cutoff", Note C.R.A.S, Vol. 347 (21-22), 1237—1242 (2009), 6 pages
R. Alexandre, Y.Morimoto, S.Ukai, C.-J. Xu, T. Yang, 2009, "Full Regularity for the Inhomogeneous Boltzmann Equation without Cutoff", Arch. Rat. Mech. Analysis, DOI 10.1007/s00205-010-0290-1, 69 pages (2009)
R. Alexandre, L. He, 2009, "Integral Kernel Estimates for a Linear Operator Linked with Boltzmann Equation. Part II : high singularities 1 nu 2", Kinetic and Rel. Models, Vol 1-4, 491-513 (2009), 23 pages

Diop, E.H.S., Alexandre, R., Boudraa, A.O., 2009, "A PDE Characterization of the Intrisic Mode Functions", Proc. IEEE ICASSP, pp. 3429-3432, 2009, Taipei, Taiwan
Diop, E.H.S., Alexandre, R., Boudraa, A.O., 2009, "A PDE model for 2D intrinsic mode functions", Proc. IEEE ICIP, pp. 3961-3964, 2009, Cairo, Egypt

Alexandre, R., Long, N.T., Pham, A., 2008, "A Mathematical Model for the Evaporation of a Liquid Fuel Drop, Subject to Nonlinear Constraints", Applied Mathematics and Computation, Vol. 199, N°1, May 2008, pp. 139-154
Alexandre, R., 2008, "$Lp$ Estimates for Boltzmann Equation", A paraître dans App. Maths. Comput., 28 p.

Alexandre,R., Morimoto,Y., Ukai,S., Xu,C.-X., Yang,Y., 2007, "Uncertainty Principles and Regularity for Boltzmann Type Equations", Note C.R.A.S Paris 345-12, 673-677

Alexandre,R., 2006, "Integral kernel estimates for a linear operator linked with Boltzmann equation. Part I : small singularities $0 \nu 1$. ", Indiana Univ. J. Maths, pp1975-2021.

Alexandre, R., 2006, "Lectures Notes on Boltzmann Equation and Singular Kernels", Shanghai International Congress on Kinetic Equations and Conservation Laws. CUHK Press, pp. 1-240.

Alexandre,R., Safadi.M., 2005, "Littlewood Paley Decomposition and Regularity Issues in Boltzmann Homogeneous Equations, I. Non Cutoff and Maxwell Cases. ", M3AN, pp. 8-15

Alexandre,R., Taha,H., 2004, "Propagation of Electromagnetic Waves in non Homogeneous Media", Application of Maths., 49-3, pp201-225

Alexandre,R.,Pham,A., Simon,A., Long,N.T, 2004, "A Mathematical Model for the Evaporation of a Liquid Fuel Droplet inside an Infinite Vessel", Non Linear Analysis and Applications, In honor of V. Lakshmikanthan. R. P. Agrawal Ed. Kluwer Academic Pub, pp117-140