Energy decay rate for a coupled hyperbolic system with nonlinear damping

DOI10.1016/J.NA.2008.04.029zbMath1157.35419OpenAlexW2042793522MaRDI QIDQ1009642

Xiaosen Han, Mingxin Wang

Publication date: 2 April 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.04.029

zbMATH Keywords

differential inequalitynonlinear dampinghyperbolic systemenergy decay rate

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Higher-order hyperbolic systems (35L55)

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Cites Work

• Unnamed Item
• Long-time behavior of a coupled heat-wave system arising in fluid-structure interaction
• Well-posedness and optimal decay rates for the wave equation with nonlinear boundary damping-source interaction
• A direct method for the boundary stabilization of the wave equation
• Decay estimates for some semilinear damped hyperbolic problems
• Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
• Global existence and internal nonlinear damping for a Petrovsky system
• A new method to obtain decay rate estimates for dissipative systems with localized damping
• Decay rates for dissipative wave equations
• Existence and decay rate estimates for the wave equation with nonlinear boundary damping and source term
• Energy decay for a damped nonlinear coupled system
• General decay rate estimates for viscoelastic dissipative systems
• On the optimality of the observability inequalities for parabolic and hyperbolic systems with potentials
• Decay estimates for second order evolution equations with memory
• Long-time behavior of solutions to a nonlinear hyperbolic relaxation system
• Energy decay rates for the Timoshenko system of thermoelastic plates
• Uniform Stabilization of the Wave Equation by Nonlinear Boundary Feedback
• A new method to obtain decay rate estimates for dissipative systems
• Observabilité frontière de systèmes couplés par analyse non harmonique vectorielle
• GLOBAL EXISTENCE AND ASYMPTOTIC STABILITY FOR THE NONLINEAR AND GENERALIZED DAMPED EXTENSIBLE PLATE EQUATION
• Partial observability of coupled linear systems

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