Long time behavior of solutions of nonlinear classical field equations: The example of NLS defocusing

DOI10.1016/0167-2789(92)90166-KzbMath0785.35099OpenAlexW2053599276MaRDI QIDQ1312535

Yves Pomeau

Publication date: 31 January 1994

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(92)90166-k

zbMATH Keywords

dissipationscaling lawslocalized vortical structures

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Weak interaction in quantum theory (81V15)

Related Items

Breakdown of weak-turbulence and nonlinear wave condensation, Simulation of coherent structures in nonlinear Schrödinger-type equations, Dynamics of spiral rings in the three dimensional Ginzburg-Landau equation

Cites Work

• Local structure of the self-focusing singularity of the nonlinear Schrödinger equation
• A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number
• Statistical mechanics of Euler equations in two dimensions
• Distant side-walls cause slow amplitude modulation of cellular convection
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