Finitude d'espaces d'états liés pour certains systèmes quantiques
First kind integral equations for the numerical solution of the plane Dirichlet problem
We present, in a uniform manner, several integral equations of the first kind for the solution of the two-dimensional interior Dirichlet boundary value problem. We apply a general numerical collocation method to the various equations, and thereby we compare the various integral equations, and recommend two of them. We give a survey of the various numerical methods, and present a simple method for the numerical solution of the recommended integral equations.
First moments of energy and convergence to equilibrium.
First order elliptic systems and the existence of homoclinic orbits in Hamiltonian systems.
Fite and Kamenev type oscillation criteria for second order elliptic equations
Fite and Kamenev type oscillation criteria for the second order nonlinear damped elliptic differential equation are obtained. Our results are extensions of those for ordinary differential equations and improve some known oscillation criteria in the literature. Several examples are given to show the significance of the results.
Flatness of Domains and Doubling Properties of Measures Supported on their Boundary, with Applications to Harmonic Measure.
Flensted-Jensen's functions attached to the Landau problem on the hyperbolic disc
We give an explicit expression of a two-parameter family of Flensted-Jensen’s functions on a concrete realization of the universal covering group of . We prove that these functions are, up to a phase factor, radial eigenfunctions of the Landau Hamiltonian on the hyperbolic disc with a magnetic field strength proportional to , and corresponding to the eigenvalue .
Flot hamiltonien et spectre d'un opérateur elliptique
Flux terms and Robin boundary conditions as limit of reactions and potentials concentrating at the boundary.
Flux-upwind stabilization of the discontinuous Petrov–Galerkin formulation with Lagrange multipliers for advection-diffusion problems
In this work we consider the dual-primal Discontinuous Petrov–Galerkin (DPG) method for the advection-diffusion model problem. Since in the DPG method both mixed internal variables are discontinuous, a static condensation procedure can be carried out, leading to a single-field nonconforming discretization scheme. For this latter formulation, we propose a flux-upwind stabilization technique to deal with the advection-dominated case. The resulting scheme is conservative and satisfies a discrete maximum...
Flux-upwind stabilization of the discontinuous Petrov–Galerkin formulation with Lagrange multipliers for advection-diffusion problems
In this work we consider the dual-primal Discontinuous Petrov–Galerkin (DPG) method for the advection-diffusion model problem. Since in the DPG method both mixed internal variables are discontinuous, a static condensation procedure can be carried out, leading to a single-field nonconforming discretization scheme. For this latter formulation, we propose a flux-upwind stabilization technique to deal with the advection-dominated case. The resulting scheme is conservative and satisfies a discrete...
Fokker-Planck equation in bounded domain
We study the existence and the uniqueness of a solution to the linear Fokker-Planck equation in a bounded domain of when is a “confinement” vector field. This field acting for instance like the inverse of the distance to the boundary. An illustration of the obtained results is given within the framework of fluid mechanics and polymer flows.
Fonction spectrale d'opérateurs non elliptiques
Fonction zêta d'Epstein pour un opérateur elliptique qui dégénère dans la direction normale
Fonctionnelles de Ginzburg-Landau et espaces de configurations de particules positives et négatives
Forced oscillations of half-linear elliptic equations via Picone-type inequality.
Formes harmoniques et cohomologie relative des algèbres de Lie
Formulations mixtes augmentées et applications
Formulations Mixtes Augmentées et Applications
We propose and analyse a abstract framework for augmented mixed formulations. We give a priori error estimate in the general case: conforming and nonconforming approximations with or without numerical integration. Finally, a posteriori error estimator is given. An example of stabilized formulation for Stokes problem is analysed.
Formule de Green liée à l’ordre de . Applications au problème d’obstacle