-convergence and homogenization of monotone damped hyperbolic equations.
Global-Local subadditive ergodic theorems and application to homogenization in elasticity
Ground states of singularly perturbed convection-diffusion equation with oscillating coefficients
We study the first eigenpair of a Dirichlet spectral problem for singularly perturbed convection-diffusion operators with oscillating locally periodic coefficients. It follows from the results of [A. Piatnitski and V. Rybalko, On the first eigenpair of singularly perturbed operators with oscillating coefficients. Preprint www.arxiv.org, arXiv:1206.3754] that the first eigenvalue remains bounded only if the integral curves of the so-called effective drift have a nonempty ω-limit set. Here we consider...