The Faculty of Mathematics and Natural Sciences: Search
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Coarsening processes in thin liquid films: Analysis and numerics
(2008)
In my thesis, I study coarsening processes in thin liquid films on solid substrates. The evolution of the liquid film is determined by the so-called thin film equation. Such processes are investigated in film configurations ...
Optimal transport and geometric analysis in Heisenberg groups
(2009-01-29)
In this thesis we consider the Heisenberg group H_n=R^{2n+1} with its Carnot-Carathéodory distance d_c and the Lebesgue measure L^{2n+1}. In Chapter 1, in relation with the geometric traveling salesman problem in H_1, we ...
Ricci curvature and gradient flows of the entropy for jump processes
(2013-04-03)
In the first part of this thesis, we present a new notion of Ricci curvature that applies to finite Markov chains. This notion relies on geodesic convexity of the entropy and is analogous to the one introduced by Lott--Villani ...
Modellierung und Simulation des effektiven Verhaltens von Grenzflächen in Metalllegierungen
(2007)
Die vorliegende Arbeit diskutiert die Modellierung und die numerische Simulation von Phasenübergängen bei der Ostwald-Reifung entmischter Metalllegierungen und in magnetischen Formgedächtnis-Materialien. Dabei werden die ...
Joint methods in imaging based on diffuse image representations
(2010-08-31)
This thesis deals with the application and the analysis of different variants of the Mumford-Shah model in the context of image processing. In this kind of models, a given function is approximated in a piecewise smooth or ...
Gluing of metric measure spaces and the heat equation with homogeneous Dirichlet boundary values
(2020-07-09)
The first part of this thesis deals with gluing together several copies of an open subset of a metric measure space along the complement. This construction results in a metric measure space. We identify the Cheeger energy ......
