On the NLS dynamics for infinite energy vortex configurations on the plane | Zendy

Fabrice Béthuel | Zendy; Robert L. Jerrard | Zendy; Didier Smets | Zendy

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On the NLS dynamics for infinite energy vortex configurations on the plane

Author(s) -

Fabrice Béthuel,

Robert L. Jerrard,

Didier Smets

Publication year - 2008

Publication title -

revista matemática iberoamericana

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.569

H-Index - 52

eISSN - 2235-0616

pISSN - 0213-2230

DOI - 10.4171/rmi/552

Subject(s) - vortex , dynamics (music) , plane (geometry) , physics , energy (signal processing) , classical mechanics , vorticity , mechanics , geometry , mathematics , quantum mechanics , acoustics

We derive the asymptotical dynamical law for Ginzburg-Landau vortices in the plane under the Schrödinger dynamics, as the Ginzburg-Landau parameter goes to zero. The limiting law is the wellknown point-vortex system. This result extends to the whole plane previous results of [8, 13] established for bounded domains, and holds for arbitrary degree at infinity. When this degree is non-zero, the total Ginzburg-Landau energy is infinite.

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