4 citations · 6 across the 4 of their papers we have counts for
11 papers
Edge States for generalised Iwatsuka models: Magnetic fields having a fast transition across a curve
Arianna Giunti, Juan J. L. Velázquez
In this paper, we study the localization and propagation properties of the edge states associated to a class of magnetic laplacians in . We assume that the intensity…
Derivation of Darcy's law in randomly punctured domains
Arianna Giunti
We consider the homogenization of a Poisson problem or a Stokes system in a randomly punctured domain with Dirichlet boundary conditions. We assume that the holes are spherical and…
Convergence rates for the homogenization of the Poisson problem in randomly perforated domains
Arianna Giunti
In this paper we provide converge rates for the homogenization of the Poisson problem with Dirichlet boundary conditions in a randomly perforated domain of , $d \geq…
Convergence of the pressure in the homogenization of the Stokes equations in randomly perforated domains
Arianna Giunti, Richard M. Höfer
We consider the homogenization to the Brinkman equations for the incompressible Stokes equations in a bounded domain which is perforated by a random collection of small spherical h…
Edge States for the magnetic Laplacian in domains with smooth boundary
Arianna Giunti, Juan J. L. Velázquez
We are interested in the spectral properties of the magnetic Schrödinger operator in a domain with compact boundary and with magnetic field…
On the existence of the Green function for elliptic systems in divergence form
Arianna Giunti, Felix Otto
We study the existence of the Green function for an elliptic system in divergence form in , with . The tensor field is only assum…