Spectral stability for the wave equation with periodic forcing

DOI10.1016/j.jde.2018.04.040zbMath1402.35039OpenAlexW2802241343WikidataQ129918532 ScholiaQ129918532MaRDI QIDQ1753227

Gianni Arioli, Hans Koch

Publication date: 28 May 2018

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2018.04.040

zbMATH Keywords

Floquet-Krein theoryperiodically perturbed equation

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Initial-boundary value problems for higher-order hyperbolic systems (35L57)

Related Items (7)

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Uses Software

• Ada95
• MPFR
• ada

Cites Work

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• Existence and stability of traveling pulse solutions of the FitzHugh-Nagumo equation
• Non-symmetric low-index solutions for a symmetric boundary value problem
• A recursion formula for the characteristic polynomial of Hessenberg matrices
• Torsional instability in suspension bridges: the Tacoma Narrows Bridge case
• A new mathematical explanation of what triggered the catastrophic torsional mode of the tacoma narrows bridge
• Families of Periodic Solutions for Some Hamiltonian PDEs
• The Krein signature, Krein eigenvalues, and the Krein Oscillation Theorem
• Existence of Globally Attracting Solutions for One-Dimensional Viscous Burgers Equation with Nonautonomous Forcing---A Computer Assisted Proof
• Parameterization of Invariant Manifolds for Periodic Orbits I: Efficient Numerics via the Floquet Normal Form
• Numerical Computations and Computer Assisted Proofs of Periodic Orbits of the Kuramoto--Sivashinsky Equation
• Graphical Krein Signature Theory and Evans--Krein Functions

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