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math.AP2017
A Ginzburg-Landau type problem for highly anisotropic nematic liquid crystals
Dmitry Golovaty, Peter Sternberg, Raghavendra Venkatraman
We carry out an asymptotic analysis of a thin nematic liquid crystal in which one elastic constant dominates over the others, namely \begin{align} \label{energyab} \inf E_\varepsil…
math.AP2017
On approximation of Ginzburg-Landau minimizers by -valued maps in domains with vanishingly small holes
Leonid Berlyand, Dmitry Golovaty, Oleksandr Iaroshenko +1
We consider a two-dimensional Ginzburg-Landau problem on an arbitrary domain with a finite number of vanishingly small circular holes. A special choice of scaling relation between…