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
Abstract: In this talk, I will try to explain the basic principles needed to understand SDEs. I present preliminaries of Stochastic processes and one example I looked at is the Brownian motion and its
Abstract: The intermediate long wave equation (ILW) models the internal wave propagation of the interface in a stratified fluid of finite depth, providing a natural connection between the deep-water r
Montag, den 03. Juni 2024 um 17.00 Uhr in B7- 210 - Seminarraum A Vortrag von Anatole Gaudin (Marseille) zum Thema: " Homogeneous Function Spaces for Global-in-Time Well-Posedness" Abstract: In the la
