12 citations · 19 across the 15 of their papers we have counts for
15 papers
Stochastically forced Navier-Stokes equations interacting with an elastic structure
Felix Brandt, Matthias Hieber, Arnab Roy
We prove global-in-time strong pathwise well-posedness for a stochastic fluid-structure interaction problem coupling a two-dimensional incompressible Navier-Stokes fluid to a one-d…
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 Asymptotic Behaviour of Oldroyd-B Fluids is Almost Newtonian
Matthias Hieber, Thieu Huy Nguyen, César J. Niche +1
Consider a viscoelastic fluid of Oldroyd-B type. It is shown that its stress tensor and its Newtonian deformation tensor decay at the same rate, while the elastic part $…
Moisture dynamics with phase changes coupled to heat-conducting, compressible fluids
Felix Brandt, Matthias Hieber, Lin Ma +1
It is shown that a model coupling the heat-conducting compressible Navier-Stokes equations to a micro-physics model of moisture in air is locally strongly well-posed for large data…
Time-periodic solutions to an energy balance model coupled with an active fluid under arbitrary large forces
Gianmarco Del Sarto, Matthias Hieber, Filippo Palma +1
This article concerns time-periodic solutions to a two-dimensional Sellers-type energy balance model coupled to the three-dimensional primitive equations via a dynamic boundary con…
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…
Dynamic boundary conditions with noise for energy balance models coupled to geophysical flows
Gianmarco Del Sarto, Matthias Hieber, Tarek Zöchling
This article investigates an energy balance model coupled to the primitive equations by a dynamic boundary condition with and without noise on the boundary. It is shown that this s…
The Lagrangian approach to the compressible primitive equations
Matthias Hieber, Yoshiki Iida, Arnab Roy +1
This article develops the hydrostatic Lagrangian approach to the compressible primitive equations. A fundamental aspect in the analysis is the investigation of the compressible hyd…
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…
Dynamics of the general -tensor model interacting with a rigid body
Felix Brandt, Matthias Hieber, Arnab Roy
In this article, the fluid-rigid body interaction problem of nematic liquid crystals described by the general Beris-Edwards -tensor model is studied. It is proved first that the…
The three limits of the hydrostatic approximation
Ken Furukawa, Yoshikazu Giga, Matthias Hieber +3
The primitive equations are derived from the -Navier-Stokes equations by the hydrostatic approximation. Formally, assuming an -thin domain and anisotropic viscosit…
Nonlinear theory remedies the lack of invertibility in time periodic fluid flows
Felix Brandt, Matthias Hieber, Arnab Roy
This paper provides a framework to strong time periodic solutions of quasilinear evolution equations. The novelty of this approach is that zero is allowed to be a spectral value of…
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…
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…
The Primitive Equations in the scaling invariant space
Yoshikazu Giga, Mathis Gries, Matthias Hieber +2
Consider the primitive equations on with initial data of the form , where and $a_2 \in L^\infty_σ(\R^2;L^1(…