A lower bound for the amplitude of traveling waves of suspension bridges

DOI10.1016/j.na.2012.04.037zbMath1266.34078arXiv1203.4058OpenAlexW2963800221MaRDI QIDQ435106

Paschalis Karageorgis, John G. Stalker

Publication date: 16 July 2012

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

Full work available at URL: https://arxiv.org/abs/1203.4058

zbMATH Keywords

homoclinic solutionstraveling wavessuspension Bridge models

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Boundary value problems on infinite intervals for ordinary differential equations (34B40) Traveling wave solutions (35C07)

Related Items (6)

On the existence and non-existence of bounded solutions for a fourth order ODE ⋮ Existence and asymptotic behavior of nontrivial solutions to the Swift-Hohenberg equation ⋮ On the Lazer-McKenna conjecture and its applications ⋮ Travelling wave solutions of the beam equation with jumping nonlinearity ⋮ On the finite space blow up of the solutions of the Swift-Hohenberg equation ⋮ EXISTENCE AND UNIQUENESS OF WEAK AND CLASSICAL SOLUTIONS FOR A FOURTH-ORDER SEMILINEAR BOUNDARY VALUE PROBLEM

Cites Work

• On travelling waves in a suspension bridge model as the wave speed goes to zero
• Qualitative behavior of global solutions to some nonlinear fourth order differential equations
• The existence of ground states for fourth-order wave equations
• Traveling waves in a nonlinearly suspended beam: Theoretical results and numerical observations
• Stability and instability of fourth-order solitary waves
• Travelling Waves in a Suspension Bridge
• Travelling waves in a nonlinearly suspended beam: some computational results and four open questions
• Homoclinic Solutions for Fourth Order Traveling Wave Equations

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