Darcy-type law associated to an optimal control problem.
Degeneration of effective diffusion in the presence of periodic potential
Derivation of a homogenized two-temperature model from the heat equation
This work studies the heat equation in a two-phase material with spherical inclusions. Under some appropriate scaling on the size, volume fraction and heat capacity of the inclusions, we derive a coupled system of partial differential equations governing the evolution of the temperature of each phase at a macroscopic level of description. The coupling terms describing the exchange of heat between the phases are obtained by using homogenization techniques originating from [D. Cioranescu, F. Murat,...
Derivation of models of compressible miscible displacement in partially fractured reservoirs.
Detection of scales of heterogeneity and parabolic homogenization applying very weak multiscale convergence.
Deterministic homogenization of parabolic monotone operators with time dependent coefficients.
Diffusion in long-range correlated Ornstein-Uhlenbeck flows.
Dirichlet problem associated with a random quasilinear operator in a random domain
Dispersive limits in the homogenization of the wave equation