Geodesic
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.
DOI : 10.4171/jems/84
Classification : 35-XX, 00-XX
Keywords: Ginzburg-Landau equation, Ginzburg-Landau vortices, vortex dynamics, vortex collisions 
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     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},
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     year = {2007},
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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. http://geodesic.mathdoc.fr/articles/10.4171/jems/84/

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