Stabilization of the Kirchhoff type wave equation with locally distributed damping

DOI10.1016/J.AML.2008.08.009zbMath1171.35079OpenAlexW2008467400MaRDI QIDQ1021807

Yong Han Kang, Mi Jin Lee, Il Hyo Jung

Publication date: 9 June 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2008.08.009

zbMATH Keywords

energy decaydegenerate damping

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Integro-partial differential equations (45K05) Second-order nonlinear hyperbolic equations (35L70)

Related Items (6)

Stabilization of a nonlinear Kirchhoff equation by boundary feedback control ⋮ Weakly nonlinear dynamics of taut strings traveled by a single moving force ⋮ Asymptotic behavior of solutions for nonlinear wave equations of Kirchhoff type with a positive-negative damping ⋮ Energy decay rate for a quasi-linear wave equation with localized strong dissipation ⋮ Asymptotic behavior of a nonlinear Kirchhoff type equation with spring boundary conditions ⋮ Semi-analytical approaches for the nonlinear dynamics of a taut string subject to a moving load

Cites Work

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• Decay of solutions of the wave equation with a local degenerate dissipation
• Exponential Decay for The Semilinear Wave Equation with Locally Distributed Damping
• SUPPRESSION OF VIBRATION IN THE AXIALLY MOVING KIRCHHOFF STRING BY BOUNDARY CONTROL
• ENERGY DECAY ESTIMATES FOR A KIRCHHOFF MODEL WITH VISCOSITY

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