Vortex collisions and energy-dissipation rates in the Ginzburg-Landau heat flow Part II: The dynamics

Sylvia Serfaty

Research output: Contribution to journalArticle

Abstract

We deduce from the first part of this paper [S1] estimates on the energy-dissipation rates for solutions of the Ginzburg-Landau heat flow, which allow us to study various phenomena occurring in this flow, including vortex collisions; they allow in particular extending the dynamical law of vortices past collision times.

Original languageEnglish (US)
Pages (from-to)383-426
Number of pages44
JournalJournal of the European Mathematical Society
Volume9
Issue number3
StatePublished - 2007

Fingerprint

Ginzburg-Landau
Heat Flow
Energy Dissipation
Vortex
Energy dissipation
Vortex flow
Collision
Heat transfer
Vortex Flow
Deduce
Estimate

Keywords

  • Ginzburg-landau equation
  • Ginzburg-landau vortices
  • Vortex collisions
  • Vortex dynamics

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Vortex collisions and energy-dissipation rates in the Ginzburg-Landau heat flow Part II : The dynamics. / Serfaty, Sylvia.

In: Journal of the European Mathematical Society, Vol. 9, No. 3, 2007, p. 383-426.

Research output: Contribution to journalArticle

@article{b28121f548ed4b5090e9d0698157aa08,
title = "Vortex collisions and energy-dissipation rates in the Ginzburg-Landau heat flow Part II: The dynamics",
abstract = "We deduce from the first part of this paper [S1] estimates on the energy-dissipation rates for solutions of the Ginzburg-Landau heat flow, which allow us to study various phenomena occurring in this flow, including vortex collisions; they allow in particular extending the dynamical law of vortices past collision times.",
keywords = "Ginzburg-landau equation, Ginzburg-landau vortices, Vortex collisions, Vortex dynamics",
author = "Sylvia Serfaty",
year = "2007",
language = "English (US)",
volume = "9",
pages = "383--426",
journal = "Journal of the European Mathematical Society",
issn = "1435-9855",
publisher = "European Mathematical Society Publishing House",
number = "3",

}

TY - JOUR

T1 - Vortex collisions and energy-dissipation rates in the Ginzburg-Landau heat flow Part II

T2 - The dynamics

AU - Serfaty, Sylvia

PY - 2007

Y1 - 2007

N2 - We deduce from the first part of this paper [S1] estimates on the energy-dissipation rates for solutions of the Ginzburg-Landau heat flow, which allow us to study various phenomena occurring in this flow, including vortex collisions; they allow in particular extending the dynamical law of vortices past collision times.

AB - We deduce from the first part of this paper [S1] estimates on the energy-dissipation rates for solutions of the Ginzburg-Landau heat flow, which allow us to study various phenomena occurring in this flow, including vortex collisions; they allow in particular extending the dynamical law of vortices past collision times.

KW - Ginzburg-landau equation

KW - Ginzburg-landau vortices

KW - Vortex collisions

KW - Vortex dynamics

UR - http://www.scopus.com/inward/record.url?scp=34250327168&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34250327168&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:34250327168

VL - 9

SP - 383

EP - 426

JO - Journal of the European Mathematical Society

JF - Journal of the European Mathematical Society

SN - 1435-9855

IS - 3

ER -