High-electric-field limit for the Vlasov–Maxwell–Fokker–Planck system
Higher order estimates in further dimensions for the solutions of Navier-Stokes equations
Highfrequency asymptotics of the field scattered by an obstacle near tangential rays.
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 du problème des courants de Foucault dans un transformateur
Homogénéisation et perturbations dans un problème lié à l'échauffement d'un câble électrique
Homogeneous estimates for oscillatory integrals.
Homogenization and uniform stabilization for a nonlinear hyperbolic equation in domains with holes of small capacity.
Homogenization of a quasi-linear problem with quadratic growth in perforated domains : an example
Homogenization of almost periodic monotone operators
Homogenization of elliptic problems in a fiber reinforced structure. Non local effects
Homogenization of linear elasticity equations
The homogenization problem (i.e. the approximation of the material with periodic structure by a homogeneous one) for linear elasticity equation is studied. Both formulations in terms of displacements and in terms of stresses are considered and the results compared. The homogenized equations are derived by the multiple-scale method. Various formulae, properties of the homogenized coefficients and correctors are introduced. The convergence of displacment vector, stress tensor and local energy is proved...
Homogenization of nonlinear monotone operators beyond the periodic setting.
Homogenization of -laplacian in perforated domain
Homogenization of quasilinear optimal control problems involving a thick multilevel junction of type 3 : 2 : 1
We consider quasilinear optimal control problems involving a thick two-level junction Ωε which consists of the junction body Ω0 and a large number of thin cylinders with the cross-section of order 𝒪(ε2). The thin cylinders are divided into two levels depending on the geometrical characteristics, the quasilinear boundary conditions and controls given on their lateral surfaces and bases respectively. In addition, the quasilinear boundary conditions depend on parameters ε, α, β and the...
Homogenization of quasilinear optimal control problems involving a thick multilevel junction of type 3 : 2 : 1∗
We consider quasilinear optimal control problems involving a thick two-level junction Ωε which consists of the junction body Ω0 and a large number of thin cylinders with the cross-section of order 𝒪(ε2). The thin cylinders are divided into two levels depending on the geometrical characteristics, the quasilinear boundary conditions and controls given on their lateral surfaces and bases respectively. In addition, the quasilinear boundary...
Homogenization of quasilinear optimal control problems involving a thick multilevel junction of type 3 : 2 : 1∗
We consider quasilinear optimal control problems involving a thick two-level junction Ωε which consists of the junction body Ω0 and a large number of thin cylinders with the cross-section of order 𝒪(ε2). The thin cylinders are divided into two levels depending on the geometrical characteristics, the quasilinear boundary conditions and controls given on their lateral surfaces and bases respectively. In addition, the quasilinear boundary...
Homogenization of the Poisson equation in a thick periodic junction.