On the Cubic Lowest Landau Level Equation
Analysis of PDEs
2018-09-26 v1
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.
Cite
@article{arxiv.1709.04276,
title = {On the Cubic Lowest Landau Level Equation},
author = {Patrick Gérard and Pierre Germain and Laurent Thomann},
journal= {arXiv preprint arXiv:1709.04276},
year = {2018}
}
Comments
43 pages