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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…
A fully averaged poroelastic Kirchhoff plate interacting with an incompressible, viscous fluid: analysis and numerical simulation
Felix Brandt, Sunčica Čanić, Andrew Scharf +1
We study a new fully averaged poroelastic Kirchhoff plate model coupled with the flow of an incompressible, viscous fluid governed by the time-dependent Stokes equations. The fully…
Analysis and numerical simulations of a landfast ice model
Felix Brandt, Carolin Mehlmann
In this manuscript, we consider a common modeling framework for Arctic landfast ice based on the work of Lemieux et al. [27], which is designed for use in large-scale climate model…
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…
Three-dimensional Navier-Stokes-Biot coupling via a moving reticular plate interface: existence of weak solutions
Felix Brandt, Sunčica Čanić, Boris Muha
We prove the existence of finite-energy weak solutions to a regularized three-dimensional fluid-structure interaction (FSI) problem involving an incompressible, viscous, Newtonian…
Strong time-periodic solutions for a multilayered fluid-structure interaction system with nonlinear coupling
Felix Brandt, Claudiu Mîndrilă, Arnab Roy
We investigate a time-periodic fully three-dimensional fluid-structure interaction system in which the Navier-Stokes equations for an incompressible viscous fluid are coupled with…
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…
Strong well-posedness for a stochastic fluid-rigid body system via stochastic maximal regularity
Felix Brandt, Arnab Roy
We develop a rigorous analytical framework for a coupled stochastic fluid-rigid body system in . The model describes the motion of a rigid ball immersed in an incompr…
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…
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…