Blow-up profile of rotating 2D focusing Bose gases

  title={Blow-up profile of rotating 2D focusing Bose gases},
  author={M. Lewin and P. Nam and N. Rougerie},
  journal={arXiv: Analysis of PDEs},
  • M. Lewin, P. Nam, N. Rougerie
  • Published 2017
  • Physics, Mathematics
  • arXiv: Analysis of PDEs
  • We consider the Gross-Pitaevskii equation describing an attractive Bose gas trapped to a quasi 2D layer by means of a purely harmonic potential, and which rotates at a fixed speed of rotation $\Omega$. First we study the behavior of the ground state when the coupling constant approaches $a\_*$ , the critical strength of the cubic nonlinearity for the focusing nonlinear Schr{\"o}dinger equation. We prove that blow-up always happens at the center of the trap, with the blow-up profile given by the… CONTINUE READING
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