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A Newton-Penalty Method for A Simplified Liquid Crystal Model
harmonic maps nonlinear constraint Newton's method regularized func-tional saddle points
2012/8/10
In this paper we are concerned with the computation of a liquid crystal model de痭ed
by a simpli痚d Oseen-Frank energy functional and a (sphere) nonlinear constraint. A
particular case of this model d...
Finite dimensional reduction and convergence to equilibrium for incompressible Smectic-A liquid crystal flows
Finite dimensional reduction incompressible Smectic-A liquid crystal flows
2010/11/8
We consider a hydrodynamic system that models the Smectic-A liquid crystal flow. The model consists of the Navier-Stokes equation for the fluid velocity coupled with a fourth-order equation for the la...
Orientability and energy minimization in liquid crystal models
Orientability energy minimization liquid crystal models
2010/12/6
Uniaxial nematic liquid crystals are modelled in the Oseen-Frank theory through a unit vector field n. This theory has the apparent drawback that it does not respect the head-to-tail symmetry in which...