7 citations · 17 across the 17 of their papers we have counts for
19 papers
The -Stokes Semigroup
Tim Binz, Anatole Gaudin
We study the Stokes operator with no-slip boundary conditions on the spaces and , wher…
Long-term behaviour of the CAO-system: Optimal polynomial -convergence to degenerate equilibria
Tim Binz
This article is concerned with a definitive analysis of its long-term dynamics of the CAO-system. We establish the convergence of global strong solutions to constant equilibria in…
Homothetic Self-Similar Solutions to the Incompressible Navier-Stokes Equations
Tim Binz, Matei P. Coiculescu
We investigate homothetic forward self-similar solutions of the incompressible Navier-Stokes equations: the solutions for which both and $β\overline{U…
Strong well-posedness of a fluid--poro-viscoelastic interaction problem: An approach by Spectral analysis
Tim Binz, Matthias Hieber, Arnab Roy
This article investigates a coupled viscoelastic Navier--Stokes--Biot system describing the interaction between an incompressible viscous fluid and a poro--viscoelastic medium in t…
The Ekman spiral in primitive equations with wind-driven boundary conditions and Coriolis force
Tim Binz
In this article we investigate the relationship of the 3D incompressible, primitive equations with wind-driven boundary conditions and Coriolis force and the Ekman spiral. We ident…
Global strong well-posedness of the CAO-problem introduced by Lions, Temam and Wang
Tim Binz, Felix Brandt, Matthias Hieber +1
Consider the CAO-problem introduced by Lions, Temam and Wang, which concerns a system of two fluids described by two primitive equations coupled by fully nonlinear interface condit…
Fluid-Structure Interaction with Porous Media: The Beaver-Joseph condition in the strong sense
Tim Binz, Matthias Hieber, Arnab Roy
This article considers fluid structure interaction describing the motion of a fluid contained in a porous medium. The fluid is modelled by Navier-Stokes equations and the coupling…
Interaction of liquid crystals with a rigid body
Tim Binz, Felix Brandt, Matthias Hieber +1
This article investigates the interaction of nematic liquid crystals modeled by a simplified Ericksen-Leslie model with a rigid body. It is shown that this problem is locally stron…
Uniqueness of weak solutions to the primitive equations in some anisotropic spaces
Tim Binz, Yoshiki Iida
We consider the 3D or 2D primitive equations for oceans and atmosphere in the isothermal setting. In this paper, we establish a new conditional uniqueness result for weak solutions…
Rigorous analysis of the interaction problem of sea ice with a rigid body
Tim Binz, Felix Brandt, Matthias Hieber
Consider the set of equations modeling the motion of a rigid body enclosed in sea ice. Using Hibler's viscous-plastic model for describing sea ice, it is shown by a certain decoupl…
Interaction of geophysical flows with sea ice dynamics
Tim Binz, Felix Brandt, Matthias Hieber
This article establishes local strong well-posedness and global strong well-posedness close to constant equilibria of a model coupling the primitive equations of ocean and atmosphe…
A convergent finite element algorithm for mean curvature flow in arbitrary codimension
Tim Binz, Balázs Kovács
Optimal-order uniform-in-time -norm error estimates are given for semi- and full discretizations of mean curvature flow of surfaces in arbitrarily high codimension. The propos…
An abstract framework for interior-boundary conditions
Tim Binz, Jonas Lampart
In a configuration space whose boundary can be identified with a subset of its interior, a boundary condition can relate the behaviour of a function on the boundary and in the inte…
A convergent finite element algorithm for generalized mean curvature flows of closed surfaces
Tim Binz, Balázs Kovács
An algorithm is proposed for generalized mean curvature flow of closed two-dimensional surfaces, which include inverse mean curvature flow, powers of mean and inverse mean curvatur…
The primitive equations with stochastic wind driven boundary conditions
Tim Binz, Matthias Hieber, Amru Hussein +1
The primitive equations for geophysical flows are studied under the influence of {\em stochastic wind driven boundary conditions} modeled by a cylindrical Wiener process. We adapt…
Strictly elliptic operators with generalized Wentzell boundary conditions on continuous functions on manifolds with boundary
Tim Binz
We prove that strictly elliptic operators with generalized Wentzell boundary conditions generate analytic semigroups of angle on the space of continuous function on a c…
Dirichlet-to-Neumann operators on manifolds
Tim Binz
We consider the Dirichlet-to-Neumann operator associated to a strictly elliptic operator on the space of continuous functions on the boundary …
Strictly elliptic operators with Dirichlet boundary conditions on spaces of continuous functions on manifolds
Tim Binz
We study strictly elliptic differential operators with Dirichlet boundary conditions on the space of continuous functions on a compact, Riemannian manifo…
Operators with Wentzell boundary conditions and the Dirichlet-to-Neumann operator
Tim Binz, Klaus-Jochen Engel
In this paper we relate the generator property of an operator with (abstract) generalized Wentzell boundary conditions on a Banach space and its associated (abstract) Diric…