Abstract: In this talk, we try to explain the principles surrounding L^p spaces and what makes them distinct from other function spaces. We give the motivation for L^p spaces and present the prelimina
Abstract: In this presentation, we continue the study of Besov spaces, now considering them as spaces of traces of Sobolev functions. Indeed, while Sobolev (or Besov) functions on $\mathbb{R}^n$ might
Abstract: The theory of fluctuating hydrodynamics aims to describe density fluctuations of interacting particle systems as so-called Dean–Kawasaki stochastic partial differential equations. However, t
Abstract: Inequalities for Riesz potentials are well-known to be equivalent to Sobolev inequalities of the same order for domain norms "far" from L^1, but to be weaker otherwise. Recent contributions
Abstract: In this talk, I will present optimal bounds for the pathwise uniform strong error arising from temporal discretisation of semi-linear hyperbolic stochastic evolution equations. Up to a squar
Abstract: This talk explores recent advances in the development of structure-preserving finite element schemes for hyperbolic conservation laws. We discuss their key advantages, inherent challenges, a
Titel: We investigate a risk-averse optimal control problem governed by an elliptic quasi-variational inequality (QVI) subject to random inputs. By extending existing methods in stochastic mathematica
Abstract: The main goal of this talk is to introduce Besov spaces, which are a natural generalization of Sobolev spaces, allowing more flexibility in the study of PDEs. They provide a finer way to mea
Abstract: We are interested in the interaction of a viscous incompressible fluid with an elastic structure, where the structure is located on a part of the fluid boundary. It reacts to the surface for
Abstract: We consider the steady Stokes equations supplemented with Navier boundary conditions including a non-negative friction coefficient. We prove maximal regularity estimates (including the promi
