1 citations · 1 across the 7 of their papers we have counts for
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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…
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…
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…
Global existence of Weak Solutions for a model of nematic liquid crystal-colloidal interactions
Zhiyuan Geng, Arnab Roy, ArghirZarnescu
In this paper we study a mathematical model describing the movement of a colloidal particle in a fixed, bounded three dimensional container filled with a nematic liquid crystal flu…
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…