212 citations · 844 across the 50 of their papers we have counts for
52 papers · 1 filter
Variational principles for the interaction of liquid crystals and electric fields in the Oseen--Frank model
Giovanni Di Fratta, Valeriy Slastikov, Arghir Zarnescu
We develop a rigorous variational framework for uniaxial nematic liquid crystals interacting with an external electric field in the one-constant Oseen--Frank approximation. Equilib…
On the impact of clusters of rigid balls on the motion of a viscous fluid
Marco Bravin, Eduard Feireisl, Arnab Roy +1
We develop a new approach to the problem of the motion of a large number of rigid bodies immersed in a viscous fluid. The leading idea is the concept of cluster - a collection of i…
The Ginzburg-Landau system with general potential: maximum principle and gradient estimates
Radu Ignat, Luc Nguyen, Valeriy Slastikov +1
We study critical points of the Ginzburg-Landau energy functional $$\mathcal{F}_\varepsilon[u] = \int_Ω\Big[ \frac{1}{2}|\nabla u|^2 + \frac{1}{2\varepsilon^2} W(1 - |u|^2)\Big]\,d…
A not-so-strange term coming from somewhere
Giacomo Canevari, Kirill Cherednichenko, Arghir Zarnescu
We consider Laplace's equation in a periodically perforated domain with Robin boundary conditions on the holes, where the Robin coefficient is scaled proportionally to the inverse…
On the long time behaviour of a system of several rigid bodies immersed in a viscous fluid
Marco Bravin, Eduard Feireisl, Arnab Roy +1
We consider several rigid bodies immersed in a viscous Newtonian fluid contained in a bounded domain in . We introduce a new concept of dissipative weak solution of the proble…
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…