Bei der Erforschung von Materie hat man sich in der Geschichte schrittweise, durch Beobachtungen und Modelle, an ihre untergeordneten Strukturen herangetastet. Aus heutiger Sicht sind Quarks und Gluonen, neben den Elektronen, ...

The last decade has seen a considerable rise in the study of singular stochastic partial differential equations (SPDEs) which turned into the birth of many celebrated techniques for the development of a solution theory for ...

This thesis concerns the study of regularisation by noise phenomena for ODEs and PDEs. In particular, it focuses on the use of so called pathwise techniques: our aim is to identify analytical properties, satisfied by typical ...

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 ...

This thesis addresses the analysis of an optimal control problem in the context of fracture or damage propagation. The problem formulation is given by a tracking type optimal control problem which is governed by a state ...

In recent years, there have been many advances towards an understanding of the extreme value theory of log-correlated random fields. Log-correlated random fields are conjectured to compose a universality class for the ......

We study the weighted k-Set Packing problem, which is defined as follows: The input consists of a finite collection S of non-empty sets, each of cardinality at most k, as well as a positive weight for each of the sets. The ...

This thesis addresses the use of Nitsche's method within the Partition of Unity Method (PUM), and in particular within the PUMA software library developed both at Fraunhofer SCAI and at the Institute for Numerical Simulation, ...

We explore the finite dimensional representation theory of the periplectic Lie superalgebra and the isomeric Lie superalgebr, focusing on explicit descriptions of their projective generators' endomorphism rings. Using ...

The group of E. Hannezo et al. proposed "A Unifying Theory of Branching Morphogenesis" in glandular epithelial tissues in 2017, based on a stochastic model related to branching and annihilating random walks. In this ...