53 citations · 189 across the 31 of their papers we have counts for
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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…
A Discrete-to-Continuum Model of Weakly Interacting Incommensurate Two-Dimensional Lattices
Malena I. Español, Dmitry Golovaty, J. Patrick Wilber
In this paper we propose a continuum variational model for a two-dimensional deformable lattice of atoms interacting with a two-dimensional rigid lattice. The two lattices have sli…
A Discrete-to-Continuum Model of Weakly Interacting Incommensurate Chains
Malena Español, Dmitry Golovaty, J. Patrick Wilber
In this paper we use a formal discrete-to-continuum procedure to derive a continuum variational model for two chains of atoms with slightly incommensurate lattices. The chains repr…
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…