Instability in supercritical nonlinear wave equations: theoretical results and symplectic integration

DOI10.1016/j.matcom.2009.06.023zbMath1179.35190OpenAlexW2062843303MaRDI QIDQ1038112

Slim Ibrahim, Philippe Guyenne

Publication date: 17 November 2009

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2009.06.023

zbMATH Keywords

high frequency approximate solutionslinear dispersive spreadingnonlinear self-interaction

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71)

Cites Work

• Unnamed Item
• The global Cauchy problem for the nonlinear Klein-Gordon equation
• Optimized Forest-Ruth- and Suzuki-like algorithms for integration of motion in many-body systems
• Ill-posedness of \(H^1\)-supercritical waves
• Global solutions for a semilinear, two-dimensional Klein-Gordon equation with exponential-type nonlinearity
• GLOBAL REGULARITY FOR A LOGARITHMICALLY SUPERCRITICAL DEFOCUSING NONLINEAR WAVE EQUATION FOR SPHERICALLY SYMMETRIC DATA
• Perte de régularité pour les équations d’ondes sur-critiques

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