E-Dissertationen: Search
Now showing items 31-40 of 80
Inverse spectral theory and relative determinants of elliptic operators on surfaces with cusps
(2009-01-29)
This thesis concerns relative determinants for Laplacians on surfaces with asymptotically cusps ends and the inverse spectral problem on surfaces with cusps. We consider $(M,g)$, a surface with cusps, and a metric on the ...
Higher Green’s functions for modular forms
(2009-03-12)
Higher Green functions are real-valued functions of two variables on the upper half plane which are bi-invariant under the action of a congruence subgroup, have logarithmic singularity along the diagonal, but instead of ...
Coverings, Correspondence, and Noncommutative Geometry
(2009-01-19)
We construct an additive category where objects are embedded graphs in the 3-sphere and morphisms are geometric correspondences given by 3-manifolds realized in different ways as branched covers of the 3-sphere, up to ...
Geometric Dilation and Halving Distance
(2008)
Let us consider the network of streets of a city represented by a geometric graph G in the plane. The vertices of G represent the crossroads and the edges represent the streets. The latter do not have to be straight line ...
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 ...
Äquivariante λ-Ringe und kommutative Multiplikationen auf Moore-Spektren
(2008)
Zusatzstruktur auf Ringen in Form von λ-Operationen kann man oft durch Bilden von Potenzen konstruieren, ein typisches Beispiel dafür sind äußere Potenzen von Vektorraumbündeln. In der vorliegenden Arbeit wird der Begriff ...
Local L(2)-Cohomology of Shimura Varieties
(2008)
We give a new proof of Zuckers Conjecture relating the intersection cohomology of a locally symmetric variety to its L2-cohomology. This is achieved using techniques developed by Jens Franke in his proof of the Borel conjecture.
Classical solutions for a thin–film equation
(2008)
The main part of the thesis provides existence, uniqueness and regularity for the 1-d thin-film equation with linear mobility. The equation is viewed as a classical free boundary problem. The focus is laid on the blow up ...
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 ...
Fluid Density Approximation for an Implicit Solvent Model
(2007)
The microscopic simulation of molecules in solution is a highly challenging task. An explicit simulation of the entire solute-solvent system is often unfeasible due to the high number of degrees of freedom necessary in ...