Abstrakt: For a prescribed deterministic kinetic energy we use convex integration to construct analytically weak and probabilistically strong solutions to the 3D in-compressible Navier-Stokes equation
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
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
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 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: We study an evolutionary p-Laplace problem whose potential is subject to a translation in time. Provided the trajectory along which the potential is translated admits a sufficiently regular
Abstrakt: We consider the Oldroyd-B model for a dilute corotational polymer fluid with center-of-mass diffusion that is interacting with a viscoelastic shell. We show that any family of strong solutio
Abstrakt: We consider the steady Stokes equations in a bounded domain with forcing in divergence form supplemented with no-slip boundary conditions. We provide a maximal regularity theory in Campanato
Abstract: We propose and analyse an approximation scheme for the complete Euler equations with a stochastic forcing in the momentum equation via discontiuous Galerkin methods. It is based on the conce
Abstract: We briefly review techniques and results of convex integration for fluid dynamical (S)PDEs. Moreover, we present recent open questions and first results regarding the relation of these techn
