53 citations · 189 across the 31 of their papers we have counts for
8 papers · 1 filter
Strongly nonlinear asymptotic model of cellular instabilities in premixed flames with stepwise ignition temperature kinetics
Nathan Kilker, Dmitry Golovaty, Peter V. Gordon +2
In this paper we consider ignition-temperature, first-order reaction model of thermo-diffusive combustion that describes dynamics of thick flames arising in a theory of combustion…
Q-tensor model for electrokinetics in nematic liquid crystals
Oleh M. Tovkach, Christopher Conklin, M. Carme Calderer +4
We use a variational principle to derive a mathematical model for a nematic electrolyte in which the liquid crystalline component is described in terms of a second-rank order tenso…
Dimension reduction for the Landau-de Gennes model on curved nematic thin films
Dmitry Golovaty, Alberto Montero, Peter Sternberg
We use the method of -convergence to study the behavior of the Landau-de Gennes model for a nematic liquid crystalline film attached to a general fixed surface in the limit of v…
Existence of superconducting solutions for a reduced Ginzburg-Landau model in the presence of strong electric currents
Yaniv Almog, Leonid Berlyand, Dmitry Golovaty +1
In this work we consider a reduced Ginzburg-Landau model in which the magnetic field is neglected and the magnitude of the current density is significantly stronger than that consi…
Euler elastica as a -Limit of discrete bending energies of one-dimensional chains of atoms
Malena I. Espanol, Dmitry Golovaty, J. Patrick Wilber
This work is motivated by discrete-to-continuum modeling of the mechanics of a graphene sheet, which is a single-atom thick macromolecule of carbon atoms covalently bonded to form…
Electro-osmosis in nematic liquid crystals
O. M. Tovkach, M. Carme Calderer, Dmitry Golovaty +2
We derive a mathematical model of a nematic electrolyte based on a variational formulation of nematodynamics. Extending our previous work, we consider a general setup which incorpo…