On the Cubic Lowest Landau Level Equation

Patrick Gérard, Pierre Germain, Laurent Thomann

Research output: Contribution to journalArticle

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)
JournalArchive for Rational Mechanics and Analysis
DOIs
StateAccepted/In press - Jan 1 2018

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Landau Levels
Lowest
Variational Analysis
Bose-Einstein Condensate
Stationary Solutions
Rotating
Decay
Zero
Modeling

ASJC Scopus subject areas

  • Analysis
  • Mathematics (miscellaneous)
  • Mechanical Engineering

Cite this

On the Cubic Lowest Landau Level Equation. / Gérard, Patrick; Germain, Pierre; Thomann, Laurent.

In: Archive for Rational Mechanics and Analysis, 01.01.2018.

Research output: Contribution to journalArticle

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