Long-time dynamics for a class of Kirchhoff models with memory

DOI10.1063/1.4792606zbMath1290.35154OpenAlexW2058050812MaRDI QIDQ5396321

T. F. Ma, Marcio Antonio Jorge da Silva

Publication date: 5 February 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4792606

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Higher-order nonlinear hyperbolic equations (35L75)

Related Items (29)

Well-posedness and exponential stability for a plate equation with time-varying delay and past history ⋮ Random attractors for stochastic plate equations with memory in unbounded domains ⋮ Attractors for a von Karman equation with memory ⋮ Long-time behavior for suspension bridge equations with time delay ⋮ Asymptotic behavior for stochastic plate equations with rotational inertia and Kelvin-Voigt dissipative term on unbounded domains ⋮ A Gronwall-type lemma with parameter and its application to Kirchhoff type nonlinear wave equation ⋮ Asymptotic behavior of the thermoelastic suspension bridge equation with linear memory ⋮ Global attractors of the extensible plate equations with nonlinear damping and memory ⋮ Long-time behavior of a suspension bridge equations with past history ⋮ Long-time dynamics of a plate equation with memory and time delay ⋮ Robustness of exponentially \(\kappa\)-dissipative dynamical systems with perturbations ⋮ Optimal decay rate estimates of a nonlinear viscoelastic Kirchhoff plate ⋮ Asymptotic behavior for stochastic plate equations with memory in unbounded domains ⋮ Long-time dynamics for a nonlinear viscoelastic Kirchhoff plate equation ⋮ Sharp decay rates for a class of nonlinear viscoelastic plate models ⋮ Fractal dimension of global attractors for a Kirchhoff wave equation with a strong damping and a memory term ⋮ Long-time behavior for a class of semi-linear Viscoelastic Kirchhoff beams/plates ⋮ Asymptotic behavior for stochastic plate equations on unbounded domains ⋮ Global well-posedness for a class of fourth-order nonlinear strongly damped wave equations ⋮ Global attractor for suspension bridge equations with memory ⋮ Long-time behavior of a class of thermoelastic plates with nonlinear strain ⋮ Uniform attractors for non-autonomous plate equations with \(p\)-Laplacian perturbation and critical nonlinearities ⋮ Asymptotic behavior for stochastic plate equations with memory and additive noise on unbounded domains ⋮ Attractors for a class of Kirchhoff models with \(p\)-Laplacian and time delay ⋮ Attractor of the Kirchhoff type plate equation with memory and nonlinear damping on the whole time-dependent space ⋮ Attractors and their properties for a class of Kirchhoff models with integro-differential damping ⋮ Asymptotic behavior for non-autonomous stochastic plate equation on unbounded domains ⋮ On a class of nonlinear viscoelastic Kirchhoff plates: well-posedness and general decay rates ⋮ Long time dynamics of a multidimensional nonlinear lattice with memory

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