Initial boundary value problem for a Kirchhoff wave model with strong nonlinear damping

DOI10.1002/MMA.9345OpenAlexW4375951251MaRDI QIDQ6143177

Jun Zhou, Hang Ding

Publication date: 23 January 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.9345

zbMATH Keywords

blow-upglobal existencestrong nonlinear dampingKirchhoff wave model

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order hyperbolic equations (35L35) Blow-up in context of PDEs (35B44) Integro-partial differential equations (35R09) Higher-order semilinear hyperbolic equations (35L76)

Cites Work

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• Long-time dynamics of Kirchhoff wave models with strong nonlinear damping
• A uniqueness result for Kirchhoff equations with non-Lipschitz nonlinear term
• Global solvability for Kirchhoff equation in special classes of non-analytic functions
• Global solvability for the degenerate Kirchhoff equation with real analytic data
• A class of second order quasilinear evolution equations
• Infinite-dimensional dynamical systems in mechanics and physics.
• Global existence, decay, and blowup of solutions for some mildly degenerate nonlinear Kirchhoff strings
• Global solvability for the Kirchhoff equations in exterior domains of dimension three
• Global existence and blow-up for a Kirchhoff-type hyperbolic problem with logarithmic nonlinearity
• Global existence and asymptotic behavior of global smooth solutions to the Kirchhoff equations with strong nonlinear damping
• Blow-up of solutions for some non-linear wave equations of Kirchhoff type with some dissipation
• On Global Existence, Asymptotic Stability and Blowing Up of Solutions for Some Degenerate Non-linear Wave Equations of Kirchhoff Type with a Strong Dissipation
• Derivative loss for Kirchhoff equations with non-Lipschitz nonlinear term
• Existence and boundary stabilization of solutions for the kirchhoff equation
• Decay properties of solutions of some quasilinear hyperbolic equations with strong damping
• Blowing up and global existence of solutions for some degenerate nonlinear wave equations with some dissipation
• Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
• On the Well-Posedness of the Kirchhoff String
• Long-time dynamics of Kirchhoff equations with exponential nonlinearities
• Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations

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