2 citations · 3 across the 6 of their papers we have counts for
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Compressible fluids and elastic plates in 2D: A conditional no-contact theorem
Dominic Breit, Arnab Roy
We consider the interaction of a compressible fluid with a flexible plate in two space dimensions. The fluid is described by the Navier--Stokes equations in a domain that is changi…
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…
Regularity results in 2D fluid-structure interaction
Dominic Breit
We study the interaction of an incompressible fluid in two dimensions with an elastic structure yielding the moving boundary of the physical domain. The displacement of the structu…
Global Schauder estimates for the -Laplace system
Dominic Breit, Andrea Cianchi, Lars Diening +1
An optimal first-order global regularity theory, in spaces of functions defined in terms of oscillations, is established for solutions to Dirichlet problems for the -Laplace equ…