We deal with the homogenization of initial-boundary-value problems for parabolic equations
with asymptotically degenerate rapidly oscillating periodic coefficients, which are models for …

We establish a homogenization result and a corrector result for a vibration problem of
elasticity. We assume that the data depend in a periodic way on a small parameter ε. We …

The authors analyze dynamic processes of filtration in porous media and consider periodic
porous media formed by a large number of “blocks” with low permeability, separated by a …

We determine the asymptotic behavior of the solutions to the linear elastodynamic equations
in a stratified media comprising an alternation of possibly very stiff layers with much softer …

Mathematical modeling is an essential modern tool for solving scientific and engineering
problems. Mathematical and numerical modeling plays a significant role in understanding …

Mathematical modeling is an essential modern tool for solving scientific and engineering
problems. Mathematical and numerical modeling plays a significant role in understanding …

Microneedle systems are compiled by a sufficiently large number of microneedles which are
mounted on a flat base and used for drugs injection in modern medicine. Such systems are …

The homogenization of initial boundary value problems for heat conduction equations with
asymptotically degenerate rapidly oscillating periodic coefficients are considered. Such …

Les pages qui suivent présentent les travaux que j'ai effectués depuis le début de mes
recherches en 1995. Ils ont été menés d'abord au laboratoire d'Analyse Non Linéaire …

La modélisation mathématique est un outil moderne essentiel pour résoudre les problèmes
scientifiques et d'ingénierie. La modélisation mathématique et numérique joue un rôle …