Exponential attractor for the Kirchhoff equations with strong nonlinear damping and supercritical nonlinearity

DOI10.1016/J.AML.2015.02.019zbMath1326.35048OpenAlexW2026128680MaRDI QIDQ494264

Zhijian Yang, Zhi-Ming Liu

Publication date: 31 August 2015

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

Full work available at URL: https://doi.org/10.1016/j.aml.2015.02.019

zbMATH Keywords

Kirchhoff equationsexponential attractorsupercritical nonlinearitystrong nonlinear dampingweak quasi-stability estimates

Mathematics Subject Classification ID

Attractors (35B41) Integro-partial differential equations (35R09) Second-order quasilinear hyperbolic equations (35L72)

Related Items (6)

The family of random attractors for nonautonomous stochastic higher-order Kirchhoff equations with variable coefficients ⋮ Exponential attractor for Kirchhoff model with time delay and thermal effect ⋮ Blow-up of solutions for a wave equation with nonlinear averaged damping and nonlocal nonlinear source terms ⋮ Fractal dimension of global attractors for a Kirchhoff wave equation with a strong damping and a memory term ⋮ Blow-up of solutions to a viscoelastic wave equation with nonlocal damping ⋮ Asymptotic stability and blow-up for the wave equation with degenerate nonlocal nonlinear damping and source terms

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• On Global Existence, Asymptotic Stability and Blowing Up of Solutions for Some Degenerate Non-linear Wave Equations of Kirchhoff Type with a Strong Dissipation
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