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Title: On the derivation of non-local diffusion equations in confined spaces
Author: Cesbron, Ludovic
ISNI:       0000 0004 7225 8617
Awarding Body: University of Cambridge
Current Institution: University of Cambridge
Date of Award: 2017
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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.
Supervisor: Mouhot, Clément Sponsor: European Research Council
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
Keywords: Kinetic theory of gases ; Diffusion processes ; Diffusion limits ; Analysis of PDEs ; Vlasov-Fokker-Planck equations ; Fractional Laplacian ; Vlasov equations