On the Cubic Lowest Landau Level Equation

Patrick Gérard, Pierre Germain, Laurent Thomann

Research output: Contribution to journalArticlepeer-review

Abstract

We study dynamical properties of the cubic lowest Landau level equation, which is used in the modeling of fast rotating Bose–Einstein condensates. We obtain bounds on the decay of general stationary solutions.We then provide a classification of stationary waves with a finite number of zeros. Finally, we are able to establish which of these stationary waves are stable, through a variational analysis.

Original languageEnglish (US)
Pages (from-to)1073-1128
Number of pages56
JournalArchive for Rational Mechanics and Analysis
Volume231
Issue number2
DOIs
StatePublished - Feb 7 2019

ASJC Scopus subject areas

  • Analysis
  • Mathematics (miscellaneous)
  • Mechanical Engineering

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