Traveling Waves in a Suspension Bridge System

DOI10.1137/S0036141002412690zbMath1039.35128OpenAlexW2016690527MaRDI QIDQ4429881

Zhonghai Ding

Publication date: 30 September 2003

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036141002412690

zbMATH Keywords

oscillationstraveling wavemountain pass lemmacoupled nonlinear wave and beam equationssuspension bridge system

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Solitary waves in solid mechanics (74J35)

Related Items (5)

The interactive vibration behavior in a suspension bridge system under moving vehicle loads and vertical seismic excitations ⋮ Global solutions and blow-up for a coupled system of nonlinear hyperbolic equations with weak damping ⋮ Periodic oscillation in suspension bridge model with a periodic damping term ⋮ Global existence and blowup in infinite time for a fourth order wave equation with damping and logarithmic strain terms ⋮ An energy-conserving finite element method for nonlinear fourth-order wave equations

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