Abstract: Model order reduction (MOR) has been a fundamental tool for reducing computational costs in parametrized (differential) problems. It works on the basis idea that the solutions for different
Abstract: Dissipative solution concepts are a powerful tool in the analysis of conservation laws. They obey a weak-strong uniqueness principle and can be constructed as the limit of sequences of consi
Abstract: In this talk, we are going to discuss the global-in-time well-posedness of the Magnetohydrodynamical (MHD) system for small initial datas in half-space and rough bouned domain. This is a nat
Abstract: In general, the global-in-time existence of weak solutions to hyperbolic conservation laws is only known in the scalar or the one-dimensional case. Due to the lack of analogous results for m
Abstract: Originally introduced to describe a transition region in stars, the shallow water magnetohydrodynamics (SWMHD) model is now used throughout a number of solar physics and geophysical applicat
Abstract: Stochastic fluid dynamics has received a lot of attention recently due to its ability to represent unresolved scales and data while maintaining physical consistency. In this talk, I will int
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
