Étude de la diffraction dans les instruments d'optique; son influence sur les observations astronomiques
Étude sur les vibrations rectilignes et sur la diffraction, dans les milieux isotropes et dans l'éther des cristaux.
Exact and numerical solutions of Poisson equation for electrostatic potential problems.
Exact solutions for equations of Bose-Fermi mixtures in one-dimensional optical lattice.
Exemples d’instabilités pour des équations d’ondes non linéaires
Le but de l’exposé est de donner un guide de lecture pour un article de Gilles Lebeau où il est montré que le problème de Cauchy pour l’équation d’onde surcritique est mal posé au sens de Hadamard dans l’espace d’énergie, pour en dimension 3. La preuve repose sur des constructions d’optique géométrique et des analyses d’instabilité dans des régimes fortement non linéaires. On donnera les étapes de l’analyse en essayant de les situer dans leur contexte plus général : construction de solutions...
Existence and asymptotics of solutions of the Debye-Nernst-Planck system in ℝ²
We investigate a system describing electrically charged particles in the whole space ℝ². Our main goal is to describe large time behavior of solutions which start their evolution from initial data of small size. This is achieved using radially symmetric self-similar solutions.
Existence and uniqueness of the solution of Laplace's equation from a model of magnetic recording.
Existence globale pour les systèmes de Maxwell-Bloch
Existence of guided cylindrical TM-modes in a homogeneous self-focusing dielectric
Existence of multiple solutions for a nonlinearly perturbed elliptic parabolic system in .
Existence, uniqueness and iterative construction of motions of charged particles with retarded interactions
Expansion for the superheating field in a semi-infinite film in the weak- limit
Dorsey, Di Bartolo and Dolgert (Di Bartolo et al., 1996; 1997) have constructed asymptotic matched solutions at order two for the half-space Ginzburg-Landau model, in the weak- limit. These authors deduced a formal expansion for the superheating field in powers of up to order four, extending the formula by De Gennes (De Gennes, 1966) and the two terms in Parr’s formula (Parr, 1976). In this paper, we construct asymptotic matched solutions at all orders leading to a complete expansion in powers...
Expansion for the superheating field in a semi-infinite film in the weak-κ limit
Dorsey, Di Bartolo and Dolgert (Di Bartolo et al., 1996; 1997) have constructed asymptotic matched solutions at order two for the half-space Ginzburg-Landau model, in the weak-κ limit. These authors deduced a formal expansion for the superheating field in powers of up to order four, extending the formula by De Gennes (De Gennes, 1966) and the two terms in Parr's formula (Parr, 1976). In this paper, we construct asymptotic matched solutions at all orders leading to a complete expansion...
Explicit solution of the inverse eigenvalue problem of real symmetric matrices and its application to electrical network synthesis.
Exploiting symmetry in electromagnetic imaging problems by using group representation theory.
Explosion géométrique pour certaines équations d'ondes non linéaires