Abstrakt: We consider a viscous incompressible fluid interacting with a linearly elastic shell of Koiter type which is located at some part of the boundary. Recently models with stochastic perturbatio
Abstrakt: Linear Maxwell equations for transverse magnetic (TM) polarized fields support single frequency surface plasmon polaritons (SPPs) localized at the interface of a metal and a dielectric. Meta
Abstrakt: We consider nonlocal equations with irregular coefficients and present pointwise gradient estimates in terms of Riesz potentials as well as estimates in terms of certain fractional maximal f
Abstract: We analyse the finitely extensible nonlinear elastic (FENE) dumbbell model of Warner-type for an incompressible polymer fluid (described by the Navier– Stokes–Fokker–Planck equations) intera
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
