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Quantized vortices: from Ginzburg-Landau to Gross-Pitaevskii

Presented by: 
Q Du [HKUST]
Date: 
Friday 14th February 2003 - 14:00 to 15:00
Venue: 
INI Seminar Room 1
Session Title: 
Computational Electromagnetism
Abstract: 
Quantized vortex, a signature of superfluidity, has been studied for more than fifty years in the context of superconductivity and in recent years, it has attracted much attention in the study of the Bose-Einstein condensates.

In this talk, we will discuss some questions related to quantized vortices based on the Ginzburg-Landau models for superconductivity and the Gross-Pitaevskii equations for the Bose-Einstein condensation. Some strikingly similar properties will be illustrated. Both mathematical results concerning these equations and the computational challenges will be presented.

University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons