Zobrazeno 1 - 10
of 59
pro vyhledávání: '"Giunti, Arianna"'
For a class of particle systems in continuous space with local interactions, we show that the asymptotic diffusion matrix is an infinitely differentiable function of the density of particles. Our method allows us to identify relatively explicit descr
Externí odkaz:
http://arxiv.org/abs/2112.06123
Edge States for generalised Iwatsuka models: Magnetic fields having a fast transition across a curve
Autor:
Giunti, Arianna, Velázquez, Juan J. L.
In this paper, we study the localization and propagation properties of the edge states associated to a class of magnetic laplacians in $\mathbb{R}^2$. We assume that the intensity of the magnetic field has a fast transition along a regular and compac
Externí odkaz:
http://arxiv.org/abs/2109.09651
Autor:
Giunti, Arianna
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 have random centres and radii. We impose that the average distance be
Externí odkaz:
http://arxiv.org/abs/2101.01046
For a class of interacting particle systems in continuous space, we show that finite-volume approximations of the bulk diffusion matrix converge at an algebraic rate. The models we consider are reversible with respect to the Poisson measures with con
Externí odkaz:
http://arxiv.org/abs/2011.06366
Autor:
Giunti, Arianna
In this paper we provide converge rates for the homogenization of the Poisson problem with Dirichlet boundary conditions in a randomly perforated domain of $\mathbb{R}^d$, $d \geq 3$. We assume that the holes that perforate the domain are spherical a
Externí odkaz:
http://arxiv.org/abs/2007.13386
Autor:
Giunti, Arianna, Höfer, Richard M.
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 holes. This problem has been studied by the same authors in [A. Giunti
Externí odkaz:
http://arxiv.org/abs/2003.04724
Autor:
Giunti, Arianna, Velázquez, Juan J. L.
We are interested in the spectral properties of the magnetic Schr\"odinger operator $H_\varepsilon$ in a domain $\Omega \subset \mathbb{R}^2$ with compact boundary and with magnetic field of intensity $\varepsilon^{-2}$. We impose Dirichlet boundary
Externí odkaz:
http://arxiv.org/abs/1912.07261
Autor:
Giunti, Arianna, Otto, Felix
We study the existence of the Green function for an elliptic system in divergence form $-\nabla\cdot a\nabla$ in $\mathbb{R}^d$, with $d>2$. The tensor field $a=a(x)$ is only assumed to be bounded and $\lambda$-coercive. For almost every point $y \in
Externí odkaz:
http://arxiv.org/abs/1911.02110
Autor:
Giunti, Arianna
This thesis is divided into two parts: In the first one (Chapters 1 and 2), we deal with problems arising from quantitative homogenization of the random elliptic operator in divergence form $-\\nabla \\cdot a \\nabla$. In Chapter 1 we study existence
Externí odkaz:
https://ul.qucosa.de/id/qucosa%3A15676
https://ul.qucosa.de/api/qucosa%3A15676/attachment/ATT-0/
https://ul.qucosa.de/api/qucosa%3A15676/attachment/ATT-0/
Autor:
Giunti, Arianna
This thesis is divided into two parts: In the first one (Chapters 1 and 2), we deal with problems arising from quantitative homogenization of the random elliptic operator in divergence form $-\\nabla \\cdot a \\nabla$. In Chapter 1 we study existence