Weak Solutions to a Fractional Fokker-Planck Equation via Splitting and Wasserstein Gradient Flow

In this thesis, we study a linear fractional Fokker-Planck equation that models non-local (`fractional') diffusion in the presence of a potential field. The non-locality is due to the appearance of the `fractional Laplacian' in the corresponding PDE, in place of the classical Laplacian whi...

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Bibliographic Details
Main Author: Bowles, Malcolm
Other Authors: Agueh, Martial
Language:English
en
Published: 2014
Subjects:
Online Access:http://hdl.handle.net/1828/5591