Browsing by Author "Zarnescu, A."
Now showing items 114 of 14

Design of effective bulk potentials for nematic liquid crystals via colloidal homogenisation
Canevari, G.; Zarnescu, A. (20200201)We consider a Landau–de Gennes model for a suspension of small colloidal inclusions in a nematic host. We impose suitable anchoring conditions at the boundary of the inclusions, and we work in the dilute regime — i.e. the ... 
Dynamics and flow effects in the BerisEdwards system modeling nematic liquid crystals
Hao, W.; Xiang, X.; Zarnescu, A. (20180810)We consider the BerisEdwards system modelling incompressible liquid crystal flows of nematic type. This couples a NavierStokes system for the fluid velocity with a parabolic reactionconvectiondiffusion equation for the ... 
Global wellposedness and twistwave solutions for the inertial QianSheng model of liquid crystals
De Anna, F.; Zarnescu, A. (20171002)We consider the inertial QianSheng model of liquid crystals which couples a hyperbolictype equation involving a secondorder material derivative with a forced incompressible NavierStokes system. We study the energy law ... 
Landaude Gennes Corrections to the OseenFrank Theory of Nematic Liquid Crystals
Di Fratta, G.; Robbins, J.M.; Slastikov, V.; Zarnescu, A. (20200103)We study the asymptotic behavior of the minimisers of the Landaude Gennes model for nematic liquid crystals in a twodimensional domain in the regime of small elastic constant. At leading order in the elasticity constant, ... 
Liquid crystal defects in the Landau–de Gennes theory in two dimensions — Beyond the oneconstant approximation
Kitavtsev, G.; Robbins, J.M.; Slastikov, V.; Zarnescu, A. (20161231)We consider the twodimensional Landaude Gennes energy with several elastic constants, subject to general $k$radially symmetric boundary conditions. We show that for generic elastic constants the critical points consistent ... 
On a hyperbolic system arising in liquid crystal modelling
Feireisl, E.; Rocca, E.; Schimperna, G.; Zarnescu, A. (201711)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 Sheng. A new concept of dissipative solution ... 
On a sharp Poincaretype inequality on the 2sphere and its application in micromagnetics
Fratta, G.D.I.; Slastikov, V.; Zarnescu, A. (20190821)The main aim of this note is to prove a sharp Poincarétype inequality for vectorvalued functions on $\mathbb{S}^2$ that naturally emerges in the context of micromagnetics of spherical thin films. 
An optimal scaling to computationally tractable dimensionless models: Study of latex particles morphology formation
Rusconi, S.; Dutykh, D.; Zarnescu, A.; Sokolovski, D.; Akhmatskaya, E. (202002)In modelling of chemical, physical or biological systems it may occur that the coefficients, multiplying various terms in the equation of interest, differ greatly in magnitude, if a particular system of units is used. Such ... 
Partial regularity and smooth topologypreserving approximations of rough domains
Ball, J.M.; Zarnescu, A. (20170101)For a bounded domain $\Omega\subset\mathbb{R}^m, m\geq 2,$ of class $C^0$, the properties are studied of fields of `good directions', that is the directions with respect to which $\partial\Omega$ can be locally represented ... 
A Scaling Limit from the Wave Map to the Heat Flow Into S2
Jiang, N.; Luo, Y.L.; Tang, S.; Zarnescu, A. (20190708)In this paper we study a limit connecting a scaled wave map with the heat flow into the unit sphere 𝕊2. We show quantitatively how the two equations are connected by means of an initial layer correction. This limit is ... 
Shear flow dynamics in the BerisEdwards model of nematic liquid crystals
Murza, A.C.; Teruel, A.E.; Zarnescu, A. (20180214)We consider the BerisEdwards model describing nematic liquid crystal dynamics and restrict to a shear flow and spatially homogeneous situation. We analyze the dynamics focusing on the effect of the flow. We show that in ... 
Spherevalued harmonic maps with surface energy and the K13 problem
Day, S.; Zarnescu, A. (201711)We consider an energy functional motivated by the celebrated K13 problem in the OseenFrank theory of nematic liquid crystals. It is defined for spherevalued functions and appears as the usual Dirichlet energy with an ... 
Symmetry and Multiplicity of Solutions in a TwoDimensional Landau–de Gennes Model for Liquid Crystals
Ignat, R.; Nguyen, L.; Slastikov, V.; Zarnescu, A. (20200520)We consider a variational twodimensional Landau–de Gennes model in the theory of nematic liquid crystals in a disk of radius R. We prove that under a symmetric boundary condition carrying a topological defect of degree ... 
Uniqueness of degreeone Ginzburg–Landau vortex in the unit ball in dimensions N ≥ 7
Ignat, R.; Nguyen, L.; Slastikov, V.; Zarnescu, A. (20180901)For ε>0, we consider the GinzburgLandau functional for RNvalued maps defined in the unit ball BN⊂RN with the vortex boundary data x on ∂BN. In dimensions N≥7, we prove that for every ε>0, there exists a unique global ...