Blow up result for a viscoelatic plate equation with nonlinear source

DOI10.5269/BSPM.51725OpenAlexW4313579319MaRDI QIDQ6194621

Soh Edwin Mukiawa, Messaoudi A. Salim

Publication date: 16 February 2024

Published in: Boletim da Sociedade Paranaense de Matemática (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5269/bspm.51725

zbMATH Keywords

blow-upsuspension bridgeplate equationfourth-orderviscoelastic

Mathematics Subject Classification ID

Weak solutions to PDEs (35D30) Blow-up in context of PDEs (35B44) Boundary value problems for systems of nonlinear higher-order PDEs (35G60)

Cites Work

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• A partially hinged rectangular plate as a model for suspension bridges
• On decay and blow-up of the solution for a viscoelastic wave equation with boundary damping and source terms
• Asymptotic behaviour of a suspension bridge problem
• Global nonexistence for a semilinear Petrovsky equation
• Existence of a solution of the wave equation with nonlinear damping and source terms
• Existence and general decay estimate for a nonlinear plate problem
• Blow-up results for viscoelastic wave equations with weak damping
• Decay result for a delay viscoelastic plate equation
• Mathematical models for suspension bridges. Nonlinear structural instability
• Asymptotic stability of the semilinear wave equation with boundary damping and source term
• Blow-up of positive-initial-energy solutions of a nonlinear viscoelastic hyperbolic equation
• Blow up and global existence in a nonlinear viscoelastic wave equation
• Existence and asymptotic stability for the semilinear wave equation with boundary damping and source term
• Modeling suspension bridges through the von Kármán quasilinear plate equations
• Global existence and nonexistence in a system of Petrovsky

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