53 Publications (Page 1 of 3)
2021
A novel Landau-de Gennes model with quartic elastic terms
Golovaty, Dmitry⋅Golovaty, Dmitry⋅Novack, Michael⋅Novack, Michael⋅Sternberg, Peter and Sternberg, Peter
European Journal of Applied Mathematics, vol. 32, (no. 1), pp. 177-198, Feb 2021. | Journal Article
2020
A Model Problem for Nematic-Isotropic Transitions with Highly Disparate Elastic Constants
Golovaty, Dmitry⋅Novack, Michael⋅Sternberg, Peter and Venkatraman, Raghavendra
Archive for Rational Mechanics and Analysis, vol. 236, (no. 3), pp. 1805, 2020-06-00. | Journal Article
 
A novel Landau-de Gennes model with quartic elastic terms
GOLOVATY, DMITRY⋅NOVACK, MICHAEL and Sternberg, Peter
European Journal of Applied Mathematics, pp. 22, 2020-03-24. | Journal Article
 
Phase transitions in nematics: textures with tactoids and disclinations
Golovaty, Dmitry⋅Kim, Young-Ki⋅Lavrentovich, Oleg D⋅Novack, Michael and Sternberg, Peter
Mathematical Modelling of Natural Phenomena, vol. 15, pp. 8, 2020-00-00. | Journal Article
2019
A Ginzburg--Landau-Type Problem for Highly Anisotropic Nematic Liquid Crystals
Golovaty, Dmitry⋅Sternberg, Peter and Venkatraman, Raghavendra
SIAM Journal on Mathematical Analysis, vol. 51, (no. 1), pp. 320, 2019-01-00. | Journal Article
 
A Novel Landau-de Gennes Model with Quartic Elastic Terms
Golovaty, Dmitry⋅Golovaty, Dmitry⋅Novack, Michael⋅Novack, Michael⋅Sternberg, Peter and Sternberg, Peter
2019-06-21. | Journal Article
 
Asymptotic behavior of Allen–Cahn-type energies and Neumann eigenvalues via inner variations
Le, Nam⋅Le, Nam⋅Sternberg, Peter and Sternberg, Peter
Annali di Matematica Pura ed Applicata (1923 -), vol. 198, (no. 4), pp. 1293, 20190801. | Journal Article
 
Phase Transitions in Nematics: Textures with Tactoids and Disclinations
Golovaty, Dmitry⋅Golovaty, Dmitry⋅Kim, Young-Ki⋅Kim, Young-Ki⋅Lavrentovich, Oleg D⋅Lavrentovich, Oleg D⋅Novack, Michael⋅Novack, Michael⋅Sternberg, Peter and Sternberg, Peter
2019-02-17. | Journal Article
2018
A Degenerate Isoperimetric Problem in the Plane
Dadok, Jiri and Sternberg, Peter
The Journal of Geometric Analysis, vol. 28, (no. 3), pp. 2253, 20180700. | Journal Article
 
A Model Problem for Nematic-Isotropic Transitions with Highly Disparate Elastic Constants
Golovaty, Dmitry⋅Golovaty, Dmitry⋅Novack, Michael⋅Novack, Michael⋅Sternberg, Peter⋅Sternberg, Peter⋅Venkatraman, Raghavendra and Venkatraman, Raghavendra
2018-11-29. | Journal Article
 
A singular local minimizer for the volume- constrained minimal surface problem in a nonconvex domain
Sternberg, Peter⋅Sternberg, Peter⋅Zumbrun, Kevin and Zumbrun, Kevin
Proceedings of the American Mathematical Society, vol. 146, (no. 12), pp. 5146, December 1, 2018. | Journal Article
 
Asymptotic Behavior of Allen-Cahn Type Energies and Neumann Eigenvalues via Inner Variations
Le, Nam Q⋅Le, Nam Q⋅Sternberg, Peter and Sternberg, Peter
2018-05-07. | Journal Article
2017
A Ginzburg-Landau type problem for highly anisotropic nematic liquid crystals
Golovaty, Dmitry⋅Sternberg, Peter and Venkatraman, Raghavendra
2017-12-01. | Journal Article
 
A singular local minimizer for the volume constrained minimal surface problem in a nonconvex domain
Sternberg, Peter⋅Sternberg, Peter⋅Zumbrun, Kevin and Zumbrun, Kevin
2017-11-01. | Journal Article
2016
A Degenerate Isoperimetric Problem in the Plane
Dadok, Jiri and Sternberg, Peter
2016-07-28. | Journal Article
 
On the heteroclinic connection problem for multi-well gradient systems
Zuniga, Andres and Sternberg, Peter
Journal of Differential Equations, vol. 261, (no. 7), pp. 4007, 2016-10-05. | Journal Article
 
Reduced equations for the hydroelastic waves in the cochlea: The spring model
Peres Hari, Lydia⋅Peres Hari, Lydia⋅Rubinstein, Jacob⋅Rubinstein, Jacob⋅Sternberg, Peter and Sternberg, Peter
Quarterly of Applied Mathematics, vol. 74, (no. 4), pp. 670, 2016-07-18. | Journal Article
2015
A Degenerate Isoperimetric Problem and Traveling Waves to a Bi-stable Hamiltonian System
Alama, Stan⋅Bronsard, Lia⋅Contreras, Andres⋅Dadok, Jiri and Sternberg, Peter
2015-04-01. | Journal Article
 
Dimension Reduction for the Landau-de Gennes Model in Planar Nematic Thin Films
Golovaty, Dmitry⋅Montero, José and Sternberg, Peter
Journal of Nonlinear Science, vol. 25, (no. 6), pp. 1451, 20151200. | Journal Article
2014
Cascade of Minimizers for a Nonlocal Isoperimetric Problem in Thin Domains
Morini, Massimiliano and Sternberg, Peter
SIAM Journal on Mathematical Analysis, vol. 46, (no. 3), pp. 2051, 2014-01-00. | Journal Article
2013
Cascade of minimizers for a nonlocal isoperimetric problem in thin domains
Morini, Massimiliano and Sternberg, Peter
2013-09-03. | Journal Article
 
Dynamics of Ginzburg-Landau and Gross-Pitaevskii vortices on manifolds
Sternberg, Peter and Chen, Ko-Shin
Discrete and Continuous Dynamical Systems, vol. 34, (no. 5), pp. 1931, 2013-10-00. | Journal Article
 
Kinematic and dynamic vortices in a thin film driven by an applied current and magnetic field
Peres Hari, Lydia⋅Peres Hari, Lydia⋅Rubinstein, Jacob⋅Rubinstein, Jacob⋅Sternberg, Peter and Sternberg, Peter
Physica D: Nonlinear Phenomena, vol. 261, pp. 41, 2013-10-15. | Journal Article
2011
On the global minimizers of a nonlocal isoperimetric problem in two dimensions
Sternberg, P.⋅Sternberg, Peter⋅Topaloglu, Ihsan and Topaloglu, I.
Interfaces and Free Boundaries, vol. 13, (no. 1), pp. 169, 20110000. | Journal Article
2010
Gamma-convergence and the emergence of vortices for Ginzburg–Landau on thin shells and manifolds
Contreras, Andres and Sternberg, Peter
Calculus of Variations and Partial Differential Equations, vol. 38, (no. 1-2), pp. 274, 2010-05-00. | Journal Article