This paper gives a systematic treatment of two methods for obtaining operator estimates: the
shift method and the spectral method. Though substantially different in mathematical …

В работе дано систематическое изложение двух методов получения операторных
оценок: метода сдвига и спектрального метода. Эти методы сильно различаются по …

This paper is devoted to numerical approximations for the wave equation with a multiscale
character. Our approach is formulated in the framework of the Localized Orthogonal …

We study the homogenization problem for a convection-diffusion equation in a periodic
porous medium in the presence of a chemical reaction on the pores' surface. Mathematically …

This contribution is concerned with the formulation of a heterogeneous multiscale finite
elements method (HMM) for solving linear advectiondiffusion problems with rapidly …

In we proposed a set of sufficient conditions for the approximate controllability of a discrete-
spectrum bilinear Schrödinger equation. These conditions are expressed in terms of the …

We consider the small mass asymptotics (Smoluchowski-Kramers approximation) for the
Langevin equation with a variable friction coefficient. The limit of the solution in the classical …

In this work, we study the convection and diffusion of a solute in a porous medium in the
presence of a linear chemical reaction of adsorption/desorption on the pore surfaces. The …

We consider the homogenization of a model of reactive flows through periodic porous media
involving a single solute which can be absorbed and desorbed on the pore boundaries. This …

We study a reaction-diffusion-convection problem with nonlinear drift posed in a domain with
periodically arranged obstacles. The non-linearity in the drift is linked to the hydrodynamic …