A review of classical percolation theory is presented, with an emphasis on novel
applications to statistical topography, turbulent diffusion, and heterogeneous media …

Several simple mathematical models for the turbulent diffusion of a passive scalar field are
developed here with an emphasis on the symbiotic interaction between rigorous …

This series of books forms a unique and rigorous treatise on various mathematical aspects
of fluid mechanics models. These models consist of systems of nonlinear partial differential …

The aim of this monograph is to describe the main concepts and recent-vances in
multiscale? nite element methods. This monograph is intended for …

Mathematics is playing an ever more important role in the physical and biological sciences,
provoking a blurring of boundaries between scienti? c disciplines and a resurgence of …

The advection-diffusion of a passive scalar by incompressible velocity fields which admit a
statistical description and involve a continuous range of excited spatial and/or temporal …

The effective diffusivity for a passive impurity in a steady convecting flow is calculated in the
experimentally relevant limit of large Péclet number (p= vl/D). The expulsion of the …

Precise necessary and sufficient conditions on the velocity statistics for mean field behavior
in advection-diffusion by a steady incompressible velocity field are developed here. Under …

Standard and anomalous transport in incompressible flow is investigated using multiscale
techniques. Eddy diffusivities emerge from the multiscale analysis through the solution of an …

Stochastic partial differential equations are proposed in order to model some turbulence
phenomena. A particular case (the stochastic Burgers equations) is studied. Global …