Faculties of University Bonn: Search
Now showing items 131-140 of 220
On a kinetic equation arising in weak turbulence theory for the nonlinear Schrödinger equation
(2016-12-22)
We present a study of weak solutions to a kinetic equation of coagulation-fragmentation type. This quadratic equation (QWTE) is the leading order approximation for long times to the isotropic space-homogeneous weak turbulence ...
Scalar curvature rigidity on locally conformally flat manifolds with boundary
(2016-12-21)
Inspired by the work of F. Hang and X. Wang and partial results by S. Raulot, we prove a scalar curvature rigitidy result for locally conformally flat manifolds with boundary in the spirit of the well-known Min-Oo conjecture. ...
Multiscale Simulation of Polymeric Fluids using Sparse Grids
(2016-12-21)
The numerical simulation of non-Newtonian fluids is of high practical relevance since most complex fluids developed in the chemical industry are not correctly modeled by classical fluid mechanics. In this thesis, we implement ...
A sensitivity study of decadal climate prediction to aerosol variability using ECHAM6-HAM (GCM)
(2016-12-22)
The influence of aerosols on climate is an important but still highly uncertain aspect in climate research. Using the atmospheric general circulation model ECHAM6-HAM the objective of this study is to quantify the aerosol ...
Selberg zeta function and relative analytic torsion for hyperbolic odd-dimensional orbifolds
(2016-10-28)
In this thesis we study the Selberg zeta functions and the analytic torsion of hyperbolic odd-dimensional orbifolds $Gamma backslash mathbb{H}^{2n+1}$. In the first part of the thesis we restrict ourselves to compact ...
Analysis of martensitic microstructures in shape-memory-alloys: A low volume-fraction limit
(2016-11-28)
In this work, we study the limiting behavior of a variational model which arises in the analysis of microstructures at austenite-martensite interfaces in shape-memory alloys. We consider an energy containing an elastic ...
On τ-Tilting Theory and Perpendicular Categories
(2016-11-04)
We extend the classification of finitely generated modules and the combinatorial description of Auslander-Reiten sequences for finite-dimensional string algebras to infinite dimensional completed string algebras. The proof ...
Shock Fluctuations in KPZ Growth Models
(2015-10-09)
The Kardar-Parisi-Zhang (KPZ) universality class is a class of stochastic growth models which has attracted much interest, especially since the discovery about 15 years ago that the Tracy-Widom distributions from random ...
Numerical calculation of automorphic functions for finite index subgroups of triangle groups
(2015-08-20)
We present a new method to calculate automorphic functions for finite index subgroups of triangle groups. Since automorphic functions are holomorphic, it is well known that the real and the imaginary part are both harmonic. ...
Mathematical Analysis of Lattice gradient models & Nonlinear Elasticity
(2015-10-07)
Statistical Mechanics is considered as one of the most sound and confirmed theories in modern physics. In this thesis, we explore the possibility to view a large class of models under the point of view of statistical ...