• Corpus ID: 211082855

# Threshold for Blowup and Stability for Nonlinear Schrödinger Equation with Rotation

@article{Basharat2020ThresholdFB,
title={Threshold for Blowup and Stability for Nonlinear Schr{\"o}dinger Equation with Rotation},
author={Nyla Basharat and Hichem Hajaiej and Y. Hu and Shijun Zheng},
journal={arXiv: Analysis of PDEs},
year={2020}
}
• Published 11 February 2020
• Mathematics, Physics
• arXiv: Analysis of PDEs
We consider the focusing NLS with an angular momentum and a harmonic potential, which models Bose-Einstein condensate under a rotating magnetic trap. We give a sharp condition on the global existence and blowup in the mass-critical case. We further consider the stability of such systems via variational method. We determine that at the critical exponent $p=1+4/n$, the mass of $Q$, the ground state for the NLS with zero potential, is the threshold for both finite time blowup and orbital…
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