Dynamical stability analysis of strong/weak wave collapses

DOI10.1063/1.530867zbMath0817.35101OpenAlexW2054700113MaRDI QIDQ4327267

Luc Bergé

Publication date: 5 April 1995

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.530867

zbMATH Keywords

nonlinear Schrödinger equationweak collapsecollapse singularitystrong collapse

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (1)

Sharper criteria for the wave collapse

Cites Work

• L\({}^ 2\) concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power nonlinearity
• Stability of isotropic singularities for the nonlinear Schrödinger equation
• Local structure of the self-focusing singularity of the nonlinear Schrödinger equation
• The anisotropic collapse of Langmuir waves
• Computer simulation of wave collapses in the nonlinear Schrödinger equation
• Optical turbulence: weak turbulence, condensates and collapsing filaments in the nonlinear Schrödinger equation
• On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
• Bounded spatial extension of the self-similar collapsing solutions of the nonlinear Schrödinger equation
• Blow-up in Nonlinear Schroedinger Equations-II Similarity structure of the blow-up singularity
• Blow-up in Nonlinear Schroedinger Equations-I A General Review

This page was built for publication: Dynamical stability analysis of strong/weak wave collapses