On the high frequency limit of the LLL equation

DOI10.1090/QAM/1435zbMath1348.37100arXiv1509.09080OpenAlexW2963158680MaRDI QIDQ2821873

Laurent Thomann, Pierre Germain

Publication date: 23 September 2016

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.09080

zbMATH Keywords

lowest Landau levelshell model

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) PDEs in connection with quantum mechanics (35Q40) Perturbations of PDEs on manifolds; asymptotics (58J37) Integro-partial differential equations (35R09)

Related Items (10)

Conformal flow on \(\mathrm{S}^{3}\) and weak field integrability in \(\mathrm{AdS}_{4}\) ⋮ Solvable cubic resonant systems ⋮ Maximally rotating waves in AdS and on spheres ⋮ A nonrelativistic limit for AdS perturbations ⋮ Resonant Hamiltonian systems and weakly nonlinear dynamics in AdS spacetimes ⋮ Quantum hydrodynamic approximations to the finite temperature trapped Bose gases ⋮ Melonic turbulence ⋮ Quantum resonant systems, integrable and chaotic ⋮ Thomas-Fermi profile of a fast rotating Bose-Einstein condensate ⋮ Complex plane representations and stationary states in cubic and quintic resonant systems

Cites Work

• Unnamed Item
• On the continuous resonant equation for NLS. II: Statistical study
• Wave turbulence.
• Lowest Landau level functional and Bargmann spaces for Bose-Einstein condensates
• On the continuous resonant equation for NLS. I: Deterministic analysis.
• Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrödinger equation
• On the cubic lowest Landau level equation
• Lowest Landau level approach in superconductivity for the Abrikosov lattice close to \(H_{{c}_{2}}\)
• Asymptotic Behavior of the Nonlinear Schrödinger Equation with Harmonic Trapping
• Behavior of a Model Dynamical System with Applications to Weak Turbulence
• Analysis on Fock Spaces
• On the theory of Weak Turbulence for the Nonlinear Schrödinger Equation
• BOSE–EINSTEIN CONDENSATES IN THE LOWEST LANDAU LEVEL: HAMILTONIAN DYNAMICS
• S<scp>HELL</scp> M<scp>ODELS OF</scp> E<scp>NERGY</scp> C<scp>ASCADE IN</scp> T<scp>URBULENCE</scp>
• The weakly nonlinear large-box limit of the 2D cubic nonlinear Schrödinger equation

This page was built for publication: On the high frequency limit of the LLL equation