We consider a class of discrete time random dynamical systems and establish the exponential convergence of its trajectories to a unique stationary measure. The result obtained applies, in particular,â€¦ (More)

In this paper we outline an approach by Î“-convergence to some problems related to â€˜double-porosityâ€™ homogenization. Various such models have been discussed in the mathematical literature, the firstâ€¦ (More)

We consider the homogenization of a system of second-order equations with a large potential in a periodic medium. Denoting by 2 the period, the potential is scaled as 2âˆ’2. Under a generic assumptionâ€¦ (More)

The asymptotic behavior of solutions to the boundary-value probb lems posed in domains with very rapidly oscillating locally periodic boundary, is studied. For various kinds of boundary conditionsâ€¦ (More)

In this work we study reactive flows through porous media. We suppose dominant Pecletâ€™s number, dominant DamkÃ¶hlerâ€™s number and general linear reactions at the pore boundaries. Our goal is to obtainâ€¦ (More)

We study the homogenization problem for a convection-diffusion equation in a periodic porous medium in the presence of chemical reaction on the pores surface. Mathematically this model is describedâ€¦ (More)

We consider the damped-driven KdV equation uÌ‡âˆ’ Î½uxx + uxxx âˆ’ 6uux = âˆš Î½ Î·(t, x), x âˆˆ S, âˆ« u dx â‰¡ âˆ« Î· dx â‰¡ 0 , where 0 < Î½ â‰¤ 1 and the random process Î· is smooth in x and white in t. For any periodicâ€¦ (More)

This paper deals with homogenization of random nonlinear monotone operators in divergence form. We assume that the structure conditions (strict monotonicity and continuity conditions) degenerate andâ€¦ (More)