On the derivation of non-local diffusion equations in confined spaces
type: CreativeWork
description: The subject of the thesis is the derivation of non-local diffusion equations from kinetic models with heavy-tailed equilibrium in velocity. We are particularly interested in confining the kinetic equations and developing methods that allow us, from the confined kinetic models, to derive confined versions of non-local diffusion equations.
abstract: The subject of the thesis is the derivation of non-local diffusion equations from kinetic models with heavy-tailed equilibrium in velocity. We are particularly interested in confining the kinetic equations and developing methods that allow us, from the confined kinetic models, to derive confined versions of non-local diffusion equations.
author: Cesbron, Ludovic
language: en
keywords: Kinetic theory of gases, Diffusion processes, Diffusion limits, Analysis of PDEs, Vlasov-Fokker-Planck equations, Fractional Laplacian, Vlasov equations
license: https://apollo8-f-pro.lib.cam.ac.uk/bitstreams/9d831820-e894-4bc9-9369-d50ccbf4fc7d/download
license: https://www.rioxx.net/licenses/all-rights-reserved/
date published: 2017-10-21
date modified: 2026-07-22T22:24:23Z
provider: Cambridge University
publisher: Networked Digital Library of Theses and Dissertations
type: WebPage
source organization: University of Cambridge

PropertyValue
property ID: DOI
value: 10.17863/CAM.17221