Hölder regularity theorem for a class of linear nonuniformly elliptic operators with measurable coefficients
Hölder-continuity of solutions for some Schrödinger equations
Hölder-continuous solution for a nonlinear elasticity system.
Holomorphic subordinated semigroups
If is a strongly continuous and contractive semigroup on a complex Banach space , then , , generates a holomorphic semigroup on . This was proved by K. Yosida in [7]. Using similar techniques, we present a class of Bernstein functions such that for all , the operator generates a holomorphic semigroup.
Homogénéisation
Homogénéisation de frontières par épi-convergence en élasticité linéaire
Homogénéisation d'équations hyperboliques du premier ordre et application aux écoulements miscibles en milieu poreux
Homogénéisation du problème des courants de Foucault dans un transformateur
Homogénéisation et compacité par compensation
Homogénéisation et perturbations dans un problème lié à l'échauffement d'un câble électrique
Homogénéisation variationnelle des équations d’Euler
Homogeneous estimates for oscillatory integrals.
Homogenization and corrector for the wave equation in domains with small holes
Homogenization and diffusion asymptotics of the linear Boltzmann equation
We investigate the diffusion limit for general conservative Boltzmann equations with oscillating coefficients. Oscillations have a frequency of the same order as the inverse of the mean free path, and the coefficients may depend on both slow and fast variables. Passing to the limit, we are led to an effective drift-diffusion equation. We also describe the diffusive behaviour when the equilibrium function has a non-vanishing flux.
Homogenization and Diffusion Asymptotics of the Linear Boltzmann Equation
We investigate the diffusion limit for general conservative Boltzmann equations with oscillating coefficients. Oscillations have a frequency of the same order as the inverse of the mean free path, and the coefficients may depend on both slow and fast variables. Passing to the limit, we are led to an effective drift-diffusion equation. We also describe the diffusive behaviour when the equilibrium function has a non-vanishing flux.
Homogenization and hyperbolicity
Homogenization and localization in locally periodic transport
In this paper, we study the homogenization and localization of a spectral transport equation posed in a locally periodic heterogeneous domain. This equation models the equilibrium of particles interacting with an underlying medium in the presence of a creation mechanism such as, for instance, neutrons in nuclear reactors. The physical coefficients of the domain are -periodic functions modulated by a macroscopic variable, where is a small parameter. The mean free path of the particles is also...
Homogenization and localization in locally periodic transport
In this paper, we study the homogenization and localization of a spectral transport equation posed in a locally periodic heterogeneous domain. This equation models the equilibrium of particles interacting with an underlying medium in the presence of a creation mechanism such as, for instance, neutrons in nuclear reactors. The physical coefficients of the domain are ε-periodic functions modulated by a macroscopic variable, where ε is a small parameter. The mean free path of the particles...
Homogenization and two-scale convergence of the compressible Reynolds lubrication equation modelling the flying characteristics of a rough magnetic head over a rough rigid-disk surface
Homogenization and uniform stabilization for a nonlinear hyperbolic equation in domains with holes of small capacity.