On the derivation of non-local diffusion equations in confined spaces

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.

Name dc:type.qualificationname

Doctor of Philosophy (PhD)

Level dc:type.qualificationlevel

Doctoral

Grantor dc:publisher.institution

University of Cambridge

Year dc:date.issued

2017

Author dc:creator

• Cesbron, Ludovic

Advisor dc:contributor.advisor

• Mouhot, Clément

• Kinetic theory of gases
• Diffusion processes
• Diffusion limits
• Analysis of PDEs
• Vlasov-Fokker-Planck equations
• Fractional Laplacian
• Vlasov equations

Licence

• https://apollo8-f-pro.lib.cam.ac.uk/bitstreams/9d831820-e894-4bc9-9369-d50ccbf4fc7d/download
• https://www.rioxx.net/licenses/all-rights-reserved/

Language dc:language

en

Author Identifier

0000-0002-8361-896X

OAI identifier oai:identifier

oai:www.repository.cam.ac.uk:1810/270355