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Homogenization for diffusion processes, part 2.

We discuss central limit theorems for martigales and homogenization for random walks in random environment....

Some high order filtered schemes for parabolic Hamilton-Jacobi-Bellman equations

We consider high order numerical schemes for second order Hamilton-Jacobi-Bellman (HJB) equations. For high order approximation schemes (where "high" stands for greater than one), the inevitable loss ...

Degenerate Parabolic Models for Sand Slides

Four phenomena contribute to wind-induced sand movement and eventually to the formation and evolution of dunes: erosion from the sand bed, transport by the wind, sedimentation due to gravity, and sand...

Homogenization for diffusion processes

We present general tools to prove the central limit theorem for addive functionals of Markov processes and discuss in some detail the application to diffusions in periodic or random enevironment....

Tensor Finite Element Methods for the Spectral Fractional Laplacian

In this talk we discuss the analysis and fast implementation of numerical algorithms for the solution of fractional linear elliptic problems on a bounded domain with a homogeneous Dirichlet boundary c...

Flagellar swimming and amoeboid motion in Euglena gracilis: the how and why of a behavioral change in a unicellular organism

Abstract: Euglena gracilis is a unicellular protist exhibiting different motility strategies: swimming by flagellar propulsion, or crawling thanks to large amplitude shape changes of the whole body (a...

Modelling reaction-diffusion beyond the Fourier law

The classical modelling of diffusion processes posits that the flux is proportional to the gradient of the density, with the final output that the resulting equation is parabolic. Such description has...

Scattering from local deformations of a semitransparent plane

Abstract: I will discuss the scattering problem for a quantum particle in dimension three in the presence of a semitransparent unbounded obstacle, modeled by a surface. The generator of the dynamics i...

Chorin’s approaches revisited: Particle Vortex Method vs Finite Volume Method

In this work a Vortex Particle Method is combined with a Boundary Element Method for the study of viscous incompressible planar flow around solid bodies. The method is based on Chorin’s operator split...