1 citations · 1 across the 7 of their papers we have counts for
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math.AP2023
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…
math.AP2023
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…
math.AP2023★ 1 cited
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…