78 citations · 84 across the 9 of their papers we have counts for
9 papers · 1 filter
Sufficient conditions for the existence of minimizing harmonic maps with axial symmetry in the small-average regime
Giovanni Di Fratta, Valeriy Slastikov, Arghir Zarnescu
The paper concerns the analysis of global minimizers of a Dirichlet-type energy functional defined on the space of vector fields , where and are surfaces of revol…
On the motion of a small rigid body in a viscous compressible fluid
Eduard Feireisl, Arnab Roy, Arghir Zarnescu
We consider the motion of a small rigid object immersed in a viscous compressible fluid in the 3-dimensional Eucleidean space. Assuming the object is a ball of a small radius $\var…
Uniform profile near the point defect of Landau-de Gennes model
Zhiyuan Geng, Arghir Zarnescu
For the Landau-de Gennes functional on 3D domains, \begin{equation*} I_{\varepsilon}(Q,Ω):=\int_Ω\left\{\frac{1}{2}|\nabla Q|^2+\frac{1}{\varepsilon^2}\left( -\frac{a^2}{2}\mathrm{…
On a hyperbolic system arising in liquid crystals modeling
E. Feireisl, E. Rocca, G. Schimperna +1
We consider a model of liquid crystals, based on a nonlinear hyperbolic system of differential equations, that represents an inviscid version of the model proposed by Qian and Shen…
Liquid crystal defects in the Landau-de Gennes theory in two dimensions-beyond the one-constant approximation
Georgy Kitavtsev, Jonathan M Robbins, Valeriy Slastikov +1
We consider the two-dimensional Landau-de Gennes energy with several elastic constants, subject to general -radially symmetric boundary conditions. We show that for generic elas…
Dynamic Cubic Instability in a 2D Q-tensor Model for Liquid Crystals
Gautam Iyer, Xiang Xu, Arghir Zarnescu
We consider a four-elastic-constant Landau-de Gennes energy characterizing nematic liquid crystal configurations described using the -tensor formalism. The energy contains a cub…