Faculties of University Bonn: Search
Now showing items 61-66 of 66
Sheaves, Quasimaps, Maps, Covers
(2022-11-09)
Let $X$ be a smooth variety, let $S$ be a smooth surface, let $C_{g,N} rightarrow overline{M}_{g,N}$ be a universal curve over a moduli space of stable marked curves and let $(C,mathbf{x})$ be a marked nodal curve.
Analysis of Elliptic and Parabolic Partial Differential Equations Based on Carleson Measures
(2022-09-02)
This thesis proposes a new technique to analyze nonlinear elliptic and parabolic partial differential equations by exploiting the knowledge generated by the associated Carleson measure characterization of admissible data ...
Flows of Viscous Fluids: Fluctuations for Stochastic Homogenisation in Perforated Domains, and Non-Newtonian Thin-Film Models
(2022-09-26)
(noch nicht zugänglich / not yet accessible)
Optimal Control of Quasilinear Parabolic PDEs: Theory and Numerics
(2022-12-15)
This thesis is concerned with theory and numerics of optimal control of quasilinear parabolic PDEs. The underlying parabolic PDE models, e.g., heat conduction with temperature-dependent thermal conductivity and is highly ...
Robust & Efficient Treatment of Industrial-Grade CAD Geometries for a Flat-Top Partition of Unity Method
(2022-12-15)
Even today, the treatment of industrial-grade geometries is a huge challenge in the field of numerical simulations. The geometries that are created by computer aided design (CAD) are often very complex and contain many ...
Minimisation problems in continuum mechanics and generalised convex hulls
(2022-11-24)
The goal of this thesis is the analysis of functionals subject to a differential constraint. These functionals appear in minimisation problems which are connected to problems coming from continuum mechanics. In the ...