Instability of Ginzburg—Landau vortices on manifolds

Autor:	Ko-Shin Chen
Rok vydání:	2013
Předmět:	Physics Annihilation General Mathematics Boundary (topology) Instability Manifold Vortex Mathematics - Analysis of PDEs Classical mechanics Condensed Matter::Superconductivity Simply connected space FOS: Mathematics Surface of revolution Ginzburg landau Analysis of PDEs (math.AP)
Zdroj:	Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 143:337-350
ISSN:	1473-7124 0308-2105
DOI:	10.1017/s0308210511000795
Popis:	We investigate two settings of the Ginzburg—Landau system posed on a manifold where vortices are unstable. The first is an instability result for critical points with vortices of the Ginzburg—Landau energy posed on a simply connected, compact, closed 2-manifold. The second is a vortex annihilation result for the Ginzburg—Landau heat flow posed on certain surfaces of revolution with boundary.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5af5abd034c52e7377e3ae8e170cfc51 https://doi.org/10.1017/s0308210511000795 Zobrazit plný text záznamu