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We derive heuristically an integro-differential equation, as well as a shell model, governing the dynamics of the Lowest Landau Level equation in a high frequency regime.
Shell models of energy cascade in turbulence
L. Biferale, · 2003
Earlier work this paper cites.
Tkachenko waves in rapidly rotating Bose-Einstein condensates
L. O. Baksmaty, S. J. Woo, S. Choi and N. P. Bigelow, · 2004
Earlier work this paper cites.
Rapidly rotating Bose-Einstein condensates in and near the Lowest Landau Level
V. Schweikhard, I. Coddington, P. Engels, V. P. Mogendorff, and E. A. Cornell, · 2004
Earlier work this paper cites.
Ground state and Tkachenko modes of a rapidly rotating Bose Einstein condensate in the lowest Landau level state
E.B. Sonin, · 2005
Earlier work this paper cites.
A. Aftalion, X. Blanc, F. Nier, Lowest Landau level functional and Bargmann spaces for Bose-Einstein condensates. J. Funct. Anal
2006
Cited alongside, same era.
A. Aftalion, S. Serfaty, Lowest Landau level approach in superconductivity for the Abrikosov lattice close to H c 2 H_{c2} . Selecta Math
2007
Cited alongside, same era.
Bose-Einstein condensates in the lowest Landau level: Hamiltonian dynamics
F. Nier · 2007
Cited alongside, same era.
Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrödinger equation
J. Colliander, M. Keel, G. Staffilani, H. Takaoka and T. Tao, · 2010
Cited alongside, same era.
On the Theory of Weak Turbulence for the Nonlinear Schrödinger Equation
M. Escobedo and J. Velazquez,
Cited in the paper.
The weakly nonlinear large box limit of the 2D cubic nonlinear Schrödinger equation
E. Faou, P. Germain, Z. Hani,
Cited in the paper.
On the Lowest Landau Level equation
P. Germain, P. Gérard and L. Thomann,
Cited in the paper.
On the continuous resonant equation for NLS: I. Deterministic analysis
P. Germain, Z. Hani and L. Thomann,
Cited in the paper.
System of hydrodynamic type admitting two quadratic integrals of motion
E.B. Gledzer,
Cited in the paper.
Asymptotic behavior of the nonlinear Schrödinger with harmonic trapping
Z. Hani and L. Thomann
Cited in the paper.
Temporal intermittency in the energy cascade process and local Lyapunov analysis in fully developed model of turbulence
K. Okhitani, M. Yamada,
Cited in the paper.
Analysis on Fock spaces
K. Zhu, · 2012
Later among the works it cites.
Behavior of a model dynamical system with applications to weak turbulence
J. Colliander, J. Marzuola, T. Oh and G. Simpson, · 2013
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On discrete rarefaction waves in a nonlinear Schrödinger equation toy model for weak turbulence
S. Herr, J. Marzuola, · 2013
Later among the works it cites.
On the continuous resonant equation for NLS: II. Statistical study
P. Germain, Z. Hani and L. Thomann, · 2015
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