146 citations · 170 across the 5 of their papers we have counts for
10 papers
Solutions of the Ginzburg-Landau equations with vorticity concentrating near a nondegenerate geodesic
Andrew Colinet, Robert Jerrard, Peter Sternberg
It is well-known that under suitable hypotheses, for a sequence of solutions of the (simplified) Ginzburg-Landau equations $-Δu_\varepsilon +\varepsilon^{-2}(|u_\varepsilon|^2-1)u_…
A One-Dimensional Variational Problem for Cholesteric Liquid Crystals with Disparate Elastic Constants
Dmitry Golovaty, Michael Novack, Peter Sternberg
We consider a one-dimensional variational problem arising in connection with a model for cholesteric liquid crystals. The principal feature of our study is the assumption that the…
Reduced equations for an active model of the hydroelastic waves in the cochlea
Jacob Rubinstein, Peter Sternberg
Building upon our earlier passive models for the cochlea, here we enhance the model with an active mechanism. Starting with a one-chamber simplification leading to a system of a ti…
A Novel Landau-de Gennes Model with Quartic Elastic Terms
Dmitry Golovaty, Michael Novack, Peter Sternberg
Within the framework of the generalized Landau-de Gennes theory, we identify a -tensor-based energy that reduces to the four-constant Oseen-Frank energy when it is considered ov…
Phase Transitions in Nematics: Textures with Tactoids and Disclinations
Dmitry Golovaty, Young-Ki Kim, Oleg D. Lavrentovich +2
We demonstrate that a first order isotropic-to-nematic phase transition in liquid crystals can be succesfully modeled within the generalized Landau-de Gennes theory by selecting an…
A Model Problem for Nematic-Isotropic Transitions with Highly Disparate Elastic Constants
Dmitry Golovaty, Michael Novack, Peter Sternberg +1
We analyze a model problem based on highly disparate elastic constants that we propose in order to understand corners and cusps that form on the boundary between the nematic and is…