Singular limits and dynamics for the abstract Timoshenko system

DOI10.3934/eect.2023037MaRDI QIDQ6192566

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Publication date: 13 February 2024

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

zbMATH Keywords

global attractorKirchhoff equationsingular limitTimoshenko systemupper-semicontinuity

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Attractors (35B41) Abstract hyperbolic equations (35L90) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Cites Work

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• Timoshenko's plate equation as a singular limit of the dynamical von Kármán system
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• Von Karman Evolution Equations
• Stabilization of Berger–Timoshenko's equation as limit of the uniform stabilization of the von Kármán system of beams and plates
• ON THE ATTRACTOR FOR A SEMILINEAR WAVE EQUATION WITH CRITICAL EXPONENT AND NONLINEAR BOUNDARY DISSIPATION
• Singular Limit and Long-Time Dynamics of Bresse Systems

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