The asymptotic behavior of solutions to the Kirchhoff equation with a viscous damping term

DOI10.1007/BF02219221zbMath0888.35070OpenAlexW2045987219WikidataQ115392682 ScholiaQ115392682MaRDI QIDQ1363317

Tetsu Mizumachi

Publication date: 7 August 1997

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

Full work available at URL: https://doi.org/10.1007/bf02219221

zbMATH Keywords

quasilinear wave equationrate of decayinfinite-dimensional center manifold

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Vibrations in dynamical problems in solid mechanics (74H45) Second-order nonlinear hyperbolic equations (35L70) Strings (74K05)

Related Items (4)

Global solutions for a nonlinear Kirchhoff type equation with viscosity ⋮ On decay properties of solutions for degenerate strongly damped wave equations of Kirchhoff type ⋮ Central manifold theory for the generalized equation of Kirchhoff strings on \(\mathbb R^N\) ⋮ Existence of global solutions and stability results for a nonlinear wave problem in unbounded domains

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