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Mean field limits for Ginzburg-Landau vortices

By Sylvia Serfaty

Appears in collection : Semiclassical analysis and non-self-adjoint operators / Analyse semi-classique et opérateurs non-autoadjoints

Ginzburg-Landau type equations are models for superconductivity, superfluidity, Bose-Einstein condensation, etc. A crucial feature is the presence of quantized vortices, which are topological zeroes of the complex-valued solutions. We will present a new result on the derivation of a mean-field limit equation for the dynamics of many vortices starting from the parabolic Ginzburg-Landau equation or the Gross-Pitaevskii (=Schrodinger Ginzburg-Landau) equation.

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Citation data

  • DOI 10.24350/CIRM.V.18910903
  • Cite this video Serfaty, Sylvia (18/12/2015). Mean field limits for Ginzburg-Landau vortices. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18910903
  • URL https://dx.doi.org/10.24350/CIRM.V.18910903

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