E-Dissertationen: Suche
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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 ...
On the theory of higher Segal spaces
(2020-10-21)
This thesis contains three chapters, each dealing with one particular aspect of the theory of higher Segal spaces introduced by Dyckerhoff and Kapranov:
(1) By exhibiting the simplex category as an ∞-categorical ...
(1) By exhibiting the simplex category as an ∞-categorical ...
Trace-class properties of semi-groups associated with operator valued differential operators and their Witten index
(2021-06-23)
We consider the operator D = ∂ + A(X) in L2(ℝ, H), where ∂ is the closure of the derivative along ℝ in L2(ℝ, H), the operator A(X) is the ...