activity
20062026
most citedLandau-De Gennes theory of nematic liquid crystals: the Oseen-Frank limit and beyond

212 citations · 844 across the 50 of their papers we have counts for

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Showing 2024 · math.APShow all

5 papers · 2 filters

math.AP2024

On hydrostatic limit of Beris-Edwards system in a thin strip

Francesco De Anna, Xingyu Li, Marius Paicu +1

In this paper we consider the 3D co-rotational Beris-Edwards system modeling the hydrodynamic motion of nematic liquid crystals in a thin strip. The system contains the incompressi…

math.AP2024★ 1 cited

Variational Dual Solutions for Incompressible Fluids

Amit Acharya, Bianca Stroffolini, Arghir Zarnescu

We consider a construction proposed in \cite{acharyaQAM} that builds on the notion of weak solutions for incompressible fluids to provide a scheme that generates variationally a ce…

math.AP2024

On the collective effect of a large system of heavy particles immersed in a Newtonian fluid

Marco Bravin, Eduard Feireisl, Arnab Roy +1

We consider the motion of a large number of heavy particles in a Newtonian fluid occupying a bounded spatial domain. When we say "heavy", we mean a particle with a mass density tha…

math.AP2024

On the effect of a large cloud of rigid particles on the motion of an incompressible non--Newtonian fluid

Eduard Feireisl, Arnab Roy, Arghir Zarnescu

We show that the collective effect of rigid bodies of diameters immersed in an incompressible non--Newtonian fluid is negligib…

math.AP2024

Colloidal Homogenisation for the Hydrodynamics of Nematic Liquid Crystals

Francesco De Anna, Anja Schloemerkemper, Arghir Zarnescu

This paper analytically explores a simplified model for the hydrodynamics of nematic liquid crystal colloids. We integrate a Stokes equation for the velocity field with a Ginzburg-…