Energy convergence results for strongly damped nonlinear wave equations

DOI10.1007/BF01179262zbMath0603.35065OpenAlexW1987212453MaRDI QIDQ1082543

Joel D. Arvin

Publication date: 1987

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173858

zbMATH Keywords

Hilbert spacevibrating beamenergy normpositive self-adjoint operatorsstrongly-damped nonlinear wave equationundamped equation

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70)

Related Items (3)

Structural stability analysis of solutions to the initial boundary value problem for a nonlinear strongly damped wave equation ⋮ \(L^2\)-error estimate for the strongly damped extensible beam equations ⋮ Finite difference approximate solutions for the strongly damped extensible beam equations

Cites Work

• Convergence properties of the strongly damped nonlinear Klein-Gordon equation
• Nonlinear second order equations with applications to partial differential equations
• Bifurcation to divergence and flutter in flow-induced oscillations: An infinite dimensional analysis
• Higher Order Estimates and Smoothness of Nonlinear Wave Equations

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