Beating effects in cubic Schrödinger systems and growth of Sobolev norms
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Publication:4924180
DOI10.1088/0951-7715/26/5/1361zbMath1480.35352arXiv1208.5680OpenAlexW2949395141MaRDI QIDQ4924180
Eric Paturel, Laurent Thomann, Benoît Grébert
Publication date: 30 May 2013
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1208.5680
Stability in context of PDEs (35B35) A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) Resonance in context of PDEs (35B34) Time-dependent Schrödinger equations and Dirac equations (35Q41)
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Sobolev norms explosion for the cubic NLS on irrational tori ⋮ Growth of Sobolev norms for the analytic NLS on \(\mathbb{T}^2\) ⋮ Quasi-periodic solutions of fractional nonlinear Schrödinger equation systems ⋮ MODIFIED SCATTERING FOR THE CUBIC SCHRÖDINGER EQUATION ON PRODUCT SPACES AND APPLICATIONS ⋮ Stable and unstable time quasi periodic solutions for a system of coupled NLS equations ⋮ Modified scattering and beating effect for coupled Schrödinger systems on product spaces with small initial data ⋮ KAM for beating solutions of the quintic NLS ⋮ Chaotic-like transfers of energy in Hamiltonian PDEs ⋮ Growth of Sobolev norms for coupled lowest Landau level equations ⋮ Chaotic resonant dynamics and exchanges of energy in Hamiltonian PDEs ⋮ Growth of Sobolev norms for linear Schrödinger operators
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