Longtime dynamics of the Kirchhoff equation with strong damping and critical nonlinearity on \(\mathbb{R}^N\)
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Publication:891440
DOI10.1016/j.jmaa.2015.10.013zbMath1365.35093OpenAlexW1762463979MaRDI QIDQ891440
Publication date: 17 November 2015
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.10.013
Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Second-order nonlinear hyperbolic equations (35L70) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) PDEs in connection with classical thermodynamics and heat transfer (35Q79)
Related Items (14)
Longtime dynamics of the Kirchhoff equations with fractional damping and supercritical nonlinearity ⋮ The family of random attractors for nonautonomous stochastic higher-order Kirchhoff equations with variable coefficients ⋮ Attractors of the strongly damped Kirchhoff wave equation on \(\mathbb{R}^{N}\) ⋮ Global attractor of the fractional damping wave equation on ℝ3 ⋮ Complete regularity and strong attractor for the strongly damped wave equation with critical nonlinearities on \(\mathbb{R}^3\) ⋮ Well-posedness and attractor for a strongly damped wave equation with supercritical nonlinearity on \(\mathbb{R}^N\) ⋮ Attractors for the degenerate Kirchhoff wave model with strong damping: existence and the fractal dimension ⋮ Energy decay estimates of solutions for viscoelastic damped wave equations in \(\mathbb{R}^N\) ⋮ Uniform attractors and their continuity for the non-autonomous Kirchhoff wave models ⋮ Long-time dynamics of the strongly damped semilinear plate equation in \(\mathbb{R}^N\) ⋮ Time-dependent attractor for plate equations on \(\mathbb{R}^n\) ⋮ Attractors for the nonclassical diffusion equations of Kirchhoff type with critical nonlinearity on unbounded domain ⋮ Global well-posedness analysis for the nonlinear extensible beam equations in a class of modified Woinowsky-Krieger models ⋮ Attractor of the Kirchhoff type plate equation with memory and nonlinear damping on the whole time-dependent space
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