E-Dissertationen: Search
Now showing items 1-6 of 6
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 ......
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 ...
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 ...
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 ...
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 ...
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 ...