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

Sylvia Serfaty

Journal of the European Mathematical Society (2007)

  • Volume: 009, Issue: 3, page 383-426
  • ISSN: 1435-9855

Abstract

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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.

How to cite

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Serfaty, Sylvia. "Vortex collisions and energy-dissipation rates in the Ginzburg–Landau heat flow. Part II: The dynamics." Journal of the European Mathematical Society 009.3 (2007): 383-426. <http://eudml.org/doc/277278>.

@article{Serfaty2007,
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.},
author = {Serfaty, Sylvia},
journal = {Journal of the European Mathematical Society},
keywords = {Ginzburg-Landau equation; Ginzburg-Landau vortices; vortex dynamics; vortex collisions; Ginzburg-Landau equation; Ginzburg-Landau vortices; vortex dynamics; vortex collisions; variational methods; asymptotic estimates},
language = {eng},
number = {3},
pages = {383-426},
publisher = {European Mathematical Society Publishing House},
title = {Vortex collisions and energy-dissipation rates in the Ginzburg–Landau heat flow. Part II: The dynamics},
url = {http://eudml.org/doc/277278},
volume = {009},
year = {2007},
}

TY - JOUR
AU - Serfaty, Sylvia
TI - Vortex collisions and energy-dissipation rates in the Ginzburg–Landau heat flow. Part II: The dynamics
JO - Journal of the European Mathematical Society
PY - 2007
PB - European Mathematical Society Publishing House
VL - 009
IS - 3
SP - 383
EP - 426
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.
LA - eng
KW - Ginzburg-Landau equation; Ginzburg-Landau vortices; vortex dynamics; vortex collisions; Ginzburg-Landau equation; Ginzburg-Landau vortices; vortex dynamics; vortex collisions; variational methods; asymptotic estimates
UR - http://eudml.org/doc/277278
ER -

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