The behavior of materials at the nanoscale is a key aspect of modern nanoscience and
nanotechnology. This book presents rigorous mathematical techniques showing that some …

Let ε> 0 be a small parameter. We consider the domain Ω ε:= Ω∖ D ε, where Ω is an open
domain in R n, and D ε is a family of small balls of the radius d ε= o (ε) distributed …

A boundary value problem for a second-order elliptic equation with variable coefficients is
considered in a multidimensional domain which is perforated by small holes along a …

We study the behavior of attractors of the reaction–diffusion equation in a perforated domain
as the small parameter characterizing the perforation tends to zero. Résumé. Nous étudions …

We consider reaction–diffusion equation in perforated domain, with rapidly oscillating
coefficient in boundary conditions. We do not assume any Lipschitz condition for the …

KA Bekmaganbetov, VV Chepyzhov, GA Chechkin, “Strong convergence of attractors of
reaction-diffusion system with rapidly oscillating terms in an orthotropic porous medium”, Izv …

A homogenized model is constructed (with rigorous justification) for a boundary-value
problem for the Poisson equation in a periodically perforated domain with a nonlinear Robin …

We consider the Ginzburg–Landau equation in the perforated domain, with rapidly
oscillating coefficients. We derive the homogenized Ginzburg–Landau equation with a …

Одним из направлений современной теории граничного усреднения является изучение
краевых задач в областях, перфорированных вдоль многообразия. Такая перфорация …

We study reaction–diffusion systems with rapidly oscillating terms in the coefficients of
equations and in the boundary conditions, in media with periodic obstacles. The non-linear …