146 citations · 170 across the 5 of their papers we have counts for
6 papers · 1 filter
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 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…
Asymptotic Behavior of Allen-Cahn Type Energies and Neumann Eigenvalues via Inner Variations
Nam Q. Le, Peter Sternberg
We use the notion of first and second inner variations as a bridge allowing one to pass to the limit of first and second Gateaux variations for the Allen-Cahn, Cahn-Hilliard and Oh…
A singular local minimizer for the volume constrained minimal surface problem in a nonconvex domain
Peter Sternberg, Kevin Zumbrun
It has recently been established byWang and Xia [WX] that local minimizers of perimeter within a ball subject to a volume constraint must be spherical caps or planes through the or…