Existence of torsional solitons in a beam model of suspension bridge

DOI10.1007/s00205-017-1138-8zbMath1373.35301arXiv1607.02882OpenAlexW2472483991MaRDI QIDQ1675108

Donato Fortunato, Vieri Benci, Gazzola, Filippo

Publication date: 26 October 2017

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.02882

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Stability in context of PDEs (35B35) Soliton equations (35Q51) PDEs in connection with mechanics of deformable solids (35Q74) Soliton solutions (35C08)

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An Instability Result for Suspension Bridges ⋮ Instability results for a Hill equation coupled with an asymmetrically nonlinear oscillator ⋮ A new detailed explanation of the Tacoma collapse and some optimization problems to improve the stability of suspension bridges ⋮ Existence and location of solutions to fourth-order Lidstone coupled systems with dependence on odd derivatives ⋮ Long-time behavior of partially damped systems modeling degenerate plates with piers ⋮ On the instability tongues of the Hill equation coupled with a conservative nonlinear oscillator

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