E-Dissertationen: Search
Now showing items 1-10 of 15
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 ...
Shortest Paths and Steiner Trees in VLSI Routing
(2007)
Routing is one of the major steps in very-large-scale integration (VLSI) design. Its task is to find disjoint wire connections between sets of points on a chip, subject to numerous constraints. This problem is solved in a ...
Stochastic Interacting Particle Systems and Nonlinear Partial Differential Equations from Fluid Mechanics
(2007)
We derive stochastic particle approximations for two nonlinear partial differential equations from fluid mechanics: the porous medium equation and the three-dimensional Navier-Stokes equation. We associate interacting ...
Algebraic Aspects of Noncommutative Tori: the Riemann-Hilbert Correspondence
(2007)
In this thesis we have tried to figure out some algebraic aspects of noncommutative tori, aiming at generalizing them to arbitrary noncommutative spaces. In the second section all relevant definitions, some examples and ...
Two results from Morita theory of stable model categories
(2007)
We prove two results from Morita theory of stable model categories. Both can be regarded as topological versions of recent algebraic theorems. One is on recollements of triangulated categories, which have been studied in ...
Galois cohomology of Fontaine rings
(2007)
Let $V$ be a complete discrete valuation ring of mixed characteristic. We express the crystalline cohomology of the special fibre of certain smooth affine $V$-schemes $X=Spec(R)$ tensored with an appropriate ring of $p$-adic ...
Complex Multiplication, Rationality and Mirror Symmetry for Abelian Varieties and K3 Surfaces
(2007)
This thesis consists of three parts. In the first part we study abelian varieties and K3 surfaces of CM-type (i.e. their Hodge group is commutative), aiming at a characterization of complex multiplication via the existence ...
Stochastic calculus in Riemannian polyhedra and martingales in metric spaces
(2007)
The classical stochastic calculus of semimartingales is generalized to semimartingales in polyhedra. The main tool is a local Ito formula for piecewise smooth functions which is given in terms of so-called directional local ...
Eine neue Konstruktion der gewichteten Kohomologie
(2007)
Das Ziel dieser Arbeit ist eine neue Konstruktion der gewichteten Kohomologie von Kongruenzuntergruppen einer halbeinfachen einfach zusammenhängenden algebraischen Gruppe G. Die Konstruktion verwendet einen Abschneidefunktor ...