Metastable Energy Strata in Weakly Nonlinear Wave Equations

DOI10.1080/03605302.2012.683503zbMath1255.35042OpenAlexW2082166846MaRDI QIDQ5200538

Ludwig J. Gauckler, Daniel Weiss, Christian Lubich, Ernst Hairer

Publication date: 6 November 2012

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://archive-ouverte.unige.ch/unige:21873

zbMATH Keywords

Klein-Gordon equationperiodic boundary conditionsmodulated Fourier expansionlong-time stabilitymode energy

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Periodic solutions to PDEs (35B10) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Perturbations in context of PDEs (35B20) Second-order quasilinear hyperbolic equations (35L72)

Related Items (6)

Energy separation in oscillatory Hamiltonian systems without any non-resonance condition ⋮ Long-term analysis of semilinear wave equations with slowly varying wave speed ⋮ Metastable energy strata in numerical discretizations of weakly nonlinear wave equations ⋮ Long-time momentum and actions behaviour of energy-preserving methods for semi-linear wave equations via spatial spectral semi-discretisations ⋮ Sobolev Stability of Plane Wave Solutions to the Cubic Nonlinear Schrödinger Equation on a Torus ⋮ PLANE WAVE STABILITY OF THE SPLIT-STEP FOURIER METHOD FOR THE NONLINEAR SCHRÖDINGER EQUATION

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