Global attractor of the Kirchhoff wave models with strong nonlinear damping

DOI10.1016/j.aml.2017.07.008zbMath1378.35037OpenAlexW2742865300MaRDI QIDQ1680009

Zhijian Yang, Pengyan Ding, Ya-Nan Li

Publication date: 22 November 2017

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2017.07.008

zbMATH Keywords

supercritical nonlinearity

Mathematics Subject Classification ID

Attractors (35B41) Higher-order quasilinear hyperbolic equations (35L77)

Related Items (11)

Strong attractors for the structurally damped Kirchhoff wave models with subcritical-critical nonlinearities ⋮ Asymptotic behaviour of the wave equation with nonlocal weak damping and anti-damping ⋮ Global attractor for a coupled wave and plate equation with nonlocal weak damping on Riemannian manifolds ⋮ Well-posedness and attractor for a strongly damped wave equation with supercritical nonlinearity on \(\mathbb{R}^N\) ⋮ Stability of attractors for the Kirchhoff wave equation with strong damping and critical nonlinearities ⋮ Robustness of attractors for non-autonomous Kirchhoff wave models with strong nonlinear damping ⋮ Uniform attractors and their continuity for the non-autonomous Kirchhoff wave models ⋮ Optimal attractors of the Kirchhoff wave model with structural nonlinear damping ⋮ Robust attractors for a Kirchhoff-Boussinesq type equation ⋮ Random attractors for non-autonomous stochastic wave equations with nonlinear damping and white noise ⋮ Asymptotic behavior of the wave equation with nonlocal weak damping, anti-damping and critical nonlinearity

Cites Work

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• Existence and exponential decay for a Kirchhoff-Carrier model with viscosity
• Global existence, decay, and blowup of solutions for some mildly degenerate nonlinear Kirchhoff strings
• Global attractors for damped semilinear wave equations.
• Kernel sections for non-autonomous strongly damped wave equations of non-degenerate Kirchhoff-type
• Longtime behavior of the Kirchhoff type equation with strong damping on \(\mathbb{R}^N\)

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