Attractors for Kirchhoff's equation with a nonlinear damping coefficient

DOI10.1016/j.na.2009.01.187zbMath1167.35417OpenAlexW2024623672MaRDI QIDQ1030130

Stanislav Kolbasin

Publication date: 1 July 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.01.187

zbMATH Keywords

dissipative semigroupexponential attractorsKirchhoff's equationdisplacement depending damping coefficient

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Initial value problems for higher-order parabolic equations (35K30) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order nonlinear hyperbolic equations (35L75)

Related Items (13)

Attractors and their continuity for an extensible beam equation with rotational inertia and nonlocal energy damping ⋮ Attractors for a plate equation with nonlocal nonlinearities ⋮ Long-time dynamics for a class of extensible beams with nonlocal nonlinear damping ⋮ Existence of the global attractor for the plate equation with nonlocal nonlinearity in \(\mathbb{R}^{n}\) ⋮ A global attractor for the plate equation with displacement-dependent damping ⋮ Long-time dynamics of Kirchhoff wave models with strong nonlinear damping ⋮ Strong solutions and global attractors for Kirchhoff type equation ⋮ Attractors and their properties for a class of nonlocal extensible beams ⋮ Plate models with state-dependent damping coefficient and their quasi-static limits ⋮ Stability for extensible beams with a single degenerate nonlocal damping of Balakrishnan-Taylor type ⋮ Attractors for the degenerate Kirchhoff wave model with strong damping: existence and the fractal dimension ⋮ A unique continuation result for the plate equation and an application ⋮ Attractors and their stability with respect to rotational inertia for nonlocal extensible beam equations

Cites Work

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• Global and exponential attractors for 3‐D wave equations with displacement dependent damping
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