1 citations · 1 across the 5 of their papers we have counts for
7 papers
Towards an asymptotic analysis of the anisotropic Ginzburg-Landau model
Dmitry Golovaty, Petru Mironescu, Peter Sternberg
We develop a set of tools for the asymptotic analysis of minimizers of the anisotropic Ginzburg-Landau functional among the admissible competitors with Dirichlet boundary datum of…
Chevron patterns in an active nematic liquid crystal film in contact with Smectic A
M. Carme Calderer, Lingxing Yao, Longhua Zhao +3
We study a new mechanism of active matter confinement of a thin, active nematic sample consisting of microtubules, activated by Adenosine Triphosphate (ATP), placed between a slab…
Toroidal nuclei of columnar lyotropic chromonic liquid crystals coexisting with isotropic phase
Runa Koizumi, Dmitry Golovaty, Ali Alqarni +4
Nuclei of ordered materials emerging from the isotropic state usually show a shape topologically equivalent to a sphere; the well-known examples are crystals and nematic liquid cry…
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…
Dimension reduction for the Landau-de Gennes model in planar nematic thin films
Dmitry Golovaty, José 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 in the limit of vanishing thickness. In this asymptot…
Numerical analysis of the vertex models for simulating grain boundary networks
Claudio Torres, Maria Emelianenko, Dmitry Golovaty +2
Polycrystalline materials undergoing coarsening can be represented as evolving networks of grain boundaries, whose statistical characteristics determine macroscopic materials prope…