Instability of Ginzburg—Landau vortices on manifolds

DOI10.1017/S0308210511000795zbMath1273.35283arXiv1108.1949OpenAlexW3105134382MaRDI QIDQ2837112

Ko-Shin Chen

Publication date: 10 July 2013

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.1949

Mathematics Subject Classification ID

Semilinear parabolic equations (35K58) Ginzburg-Landau equations (35Q56) PDEs on manifolds (35R01)

Related Items (5)

Dynamics of Ginzburg-Landau and Gross-Pitaevskii vortices on manifolds ⋮ Instability of solutions to the Ginzburg-Landau equation on \(S^n\) and \(\mathbb{C} \mathbb{P}^n\) ⋮ The generalized point-vortex problem and rotating solutions to the Gross-Pitaevskii equation on surfaces of revolution ⋮ Stable solutions to the abelian Yang-Mills-Higgs equations on \(S^2\) and \(T^2\) ⋮ Ginzburg--Landau Patterns in Circular and Spherical Geometries: Vortices, Spirals, and Attractors

This page was built for publication: Instability of Ginzburg—Landau vortices on manifolds