The Faculty of Mathematics and Natural Sciences: Search
Now showing items 311-320 of 547
Lower semicontinuity, optimization and regularity of variational problems under general PDE constraints
(2018-04-12)
We investigate variational properties of integral functionals defined on spaces of measures satisfying a general PDE constraint. The study of these properties is motivated by the following three problems: existence of ...
Numerical methods in stochastic and two-scale shape optimization
(2018-04-26)
In this thesis, three different models of elastic shape optimization are described. All models use phase fields to describe the elastic shapes and regularize the interface length on some level or scale to control fine-scale ...
On the dynamics of correlations in Scaling limits of interacting particle systems
(2018-07-09)
In this work, we analyze the properties of two-particle correlations in the weak-coupling and plasma limit of interacting particle systems motivated by Bogolyubov's formal derivation of kinetic equations.
We prove ...
We prove ...
Moduli spaces of branched coverings of the plane
(2020-07-03)
In this thesis I build a strong connection between Hurwitz spaces of branched coverings of the complex plane, and moduli spaces M_{g,n} of Riemann surfaces of genus g ≥ 0 with n ≥ 1 boundary components.
I refine a ...
I refine a ...
Discrete Riemannian Calculus and A Posteriori Error Control on Shape Spaces
(2018-01-04)
In this thesis, a novel discrete approximation of the curvature tensor on Riemannian manifolds is derived, efficient methods to interpolate and extrapolate images in the context of the time discrete metamorphosis model are ...
The Dirac operator under collapse with bounded curvature and diameter
(2018-09-26)
A sequence (Mi, gi)i of closed Riemannian manifolds with uniform bounded curvature and diameter collapses if it converges to a lower dimensional compact metric space (B,h). The limit space ......
Numerical Methods for Uncertainty Quantification in Gas Network Simulation
(2018-09-26)
When modeling the gas flow through a network, some elements such as pressure control valves can cause kinks in the solution. In this thesis we modify the method of simplex stochastic collocation such that it is applicable ...
On the stability of the blow-up for the wave maps and the cubic wave equation
(2018-07-16)
In Thesis is divided into two parts. In the first part, we study the stability of the blow-up for the wave maps equation whereas in the second part we address the stability of the blowup for the cubic wave equation in ...
On moduli spaces of Riemann surfaces: new generators in their unstable homology and the homotopy type of their harmonic compactification
(2018-07-10)
By M_g(m,n) we denote the moduli space of conformal structures on an oriented compact cobordism S_g(m,n) of genus g greater or equal 0 and with m+n greater or equal 0 enumerated, parametrized boundary components of which ...
On the Finiteness of the Classifying Space for Virtually Cyclic Subgroups
(2018-07-20)
This thesis mainly deals with finiteness properties of the classifying space for the family of virtually cyclic subgroups. We establish a link between the finiteness of the classifying space and the conjugacy growth invariant ...