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

Stéphane Serfaty | Zendy

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

Author(s) -

Stéphane Serfaty

Publication year - 2007

Publication title -

journal of the european mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.549

H-Index - 64

eISSN - 1435-9863

pISSN - 1435-9855

DOI - 10.4171/jems/84

Subject(s) - vortex , dissipation , mathematics , dynamics (music) , energy (signal processing) , flow (mathematics) , heat flow , mathematical physics , classical mechanics , mechanics , physics , geometry , quantum mechanics , thermal , meteorology , statistics , acoustics

We deduce from the first part of this paper \cite{part1} 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.

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