Vortex collisions and energy-dissipation rates in the Ginzburg–Landau heat flow. Part II: The dynamics
Journal of the European Mathematical Society, Tome 9 (2007) no. 3, pp. 383-426
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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 to study various phenomena occurring in this flow, among which vortex-collisions; allowing in particular to extend the dynamical law of vortices passed collisions.
Classification :
35-XX, 00-XX
Keywords: Ginzburg-Landau equation, Ginzburg-Landau vortices, vortex dynamics, vortex collisions
Keywords: Ginzburg-Landau equation, Ginzburg-Landau vortices, vortex dynamics, vortex collisions
@article{JEMS_2007_9_3_a1,
author = {Sylvia Serfaty},
title = {Vortex collisions and energy-dissipation rates in the {Ginzburg{\textendash}Landau} heat flow. {Part} {II:} {The} dynamics},
journal = {Journal of the European Mathematical Society},
pages = {383--426},
publisher = {mathdoc},
volume = {9},
number = {3},
year = {2007},
doi = {10.4171/jems/84},
url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/84/}
}
TY - JOUR AU - Sylvia Serfaty 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 SP - 383 EP - 426 VL - 9 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4171/jems/84/ DO - 10.4171/jems/84 ID - JEMS_2007_9_3_a1 ER -
%0 Journal Article %A Sylvia Serfaty %T Vortex collisions and energy-dissipation rates in the Ginzburg–Landau heat flow. Part II: The dynamics %J Journal of the European Mathematical Society %D 2007 %P 383-426 %V 9 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4171/jems/84/ %R 10.4171/jems/84 %F JEMS_2007_9_3_a1
Sylvia Serfaty. Vortex collisions and energy-dissipation rates in the Ginzburg–Landau heat flow. Part II: The dynamics. Journal of the European Mathematical Society, Tome 9 (2007) no. 3, pp. 383-426. doi: 10.4171/jems/84
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