On the energy exchange between resonant modes in nonlinear Schrödinger equations
From MaRDI portal
Publication:631667
DOI10.1016/J.ANIHPC.2010.11.004zbMath1216.35137arXiv1008.3527OpenAlexW2963761477MaRDI QIDQ631667
Benoît Grébert, Carlos Villegas-Blas
Publication date: 14 March 2011
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1008.3527
Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Resonance in context of PDEs (35B34)
Related Items (13)
Birkhoff normal forms for Hamiltonian PDEs in their energy space ⋮ Dynamics of nonlinear Klein-Gordon equations in low regularity on \(\mathbb{S}^2\) ⋮ Resonant dynamics for the quintic nonlinear Schrödinger equation ⋮ 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 ⋮ Transfers of energy through fast diffusion channels in some resonant PDEs on the circle ⋮ Chaotic-like transfers of energy in Hamiltonian PDEs ⋮ Solving highly-oscillatory NLS with SAM: numerical efficiency and long-time behavior ⋮ Uniformly accurate numerical schemes for highly oscillatory Klein-Gordon and nonlinear Schrödinger equations ⋮ Chaotic resonant dynamics and exchanges of energy in Hamiltonian PDEs ⋮ Long time dynamics for generalized Korteweg-de Vries and Benjamin-Ono equations ⋮ Multi-revolution composition methods for highly oscillatory differential equations ⋮ Stroboscopic averaging for the nonlinear Schrödinger equation
Cites Work
This page was built for publication: On the energy exchange between resonant modes in nonlinear Schrödinger equations
