2 citations · 6 across the 10 of their papers we have counts for
5 papers · 1 filter
Existence of a local strong solution to the beam-polymeric fluid interaction system
Dominic Breit, Prince Romeo Mensah
We construct a unique local strong solution to the finitely extensible nonlinear elastic (FENE) dumbbell model of Warner-type for an incompressible polymer fluid (described by the…
Ladyzhenskaya-Prodi-Serrin condition for fluid-structure interaction systems
Dominic Breit, Prince Romeo Mensah, Sebastian Schwarzacher +1
We consider the interaction of a viscous incompressible fluid with a flexible shell in three space dimensions. The fluid is described by the three-dimensional incompressible Navier…
Partial boundary regularity for the Navier-Stokes equations in time-dependent domains
Dominic Breit
We consider the incompressible Navier-Stokes equations in a moving domain whose boundary is prescribed by a function (with ) of low regularity. This is…
Mean Square Temporal error estimates for the 2D stochastic Navier-Stokes equations with transport noise
Dominic Breit, Thamsanqa Castern Moyo, Andreas Prohl +1
We study the 2D Navier-Stokes equation with transport noise subject to periodic boundary conditions. Our main result is an error estimate for the time-discretisation showing a conv…
A Schauder theory for the Stokes equations in rough domains
Dominic Breit
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…