Unstable simple modes for a class of Kirchhoff equations

DOI10.5802/afst.1006zbMath1020.35060OpenAlexW2021126217MaRDI QIDQ1872805

Marina Ghisi, Massimo Gobbino

Publication date: 6 October 2003

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_2001_6_10_4_639_0

zbMATH Keywords

abstract Hilbert space settinginfinitely many simple modes

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Second-order nonlinear hyperbolic equations (35L70) Strings (74K05)

Related Items (5)

An instability result in the theory of suspension bridges ⋮ An Instability Result for Suspension Bridges ⋮ Instability results for a Hill equation coupled with an asymmetrically nonlinear oscillator ⋮ A road map to the blow-up for a Kirchhoff equation with external force ⋮ The role of boundary conditions in the torsional instability of suspension bridges

Cites Work

• Unnamed Item
• Stability of simple modes of the Kirchhoff equation
• The Cauchy problem for Kirchhoff equations
• Unstable simple modes of the nonlinear string

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