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SUMMARY:Minimizing the Ginzburg-Landau energy in a strip: (non-escaping) s
 olitons and (escaping) solitonic vortices. - Luc Nguyen (University of Oxf
 ord)
DTSTART:20250818T150000Z
DTEND:20250818T154500Z
UID:TALK234712@talks.cam.ac.uk
DESCRIPTION:We study critical points of the Ginzburg-Landau energy on a 2D
  strip\, related to the very experiments on fermionic condensates. In a re
 cent work\, Aftalion\, Gravejat and Sandier showed that\, as the width $d$
  of the strip becomes larger than $\\sqrt{2}\\pi k/ 2$\, there exists uniq
 uely a local branch of critical points which bifurcate from the soliton\, 
 each of which has k vortices on a transverse line. Using instead a minimiz
 ation procedure we establish the existence and uniqueness of these solutio
 ns for all $d > \\sqrt{2}\\pi k/ 2$. Time permitting\, we also discuss rel
 ated issues on a 3D cylinder. Joint work with Amandine Aftalion.
LOCATION:Seminar Room 1\, Newton Institute
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