Longtime behavior for an extensible beam equation with rotational inertia and structural nonlinear damping

DOI10.1016/j.jmaa.2020.124785zbMath1459.35046OpenAlexW3102970604MaRDI QIDQ1996894

Pengyan Ding, Zhijian Yang

Publication date: 28 February 2021

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.2020.124785

zbMATH Keywords

upper semicontinuity of attractorsrotational inertiastrong exponential attractorstrong global attractorstructural nonlinear damping

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Attractors (35B41) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09) Higher-order quasilinear hyperbolic equations (35L77)

Related Items (6)

Attractors and their continuity for an extensible beam equation with rotational inertia and nonlocal energy damping ⋮ Global existence and time-decay rates of solutions to the generalized Boussinesq equation with weak damping ⋮ Dynamics of a thermoelastic Balakrishnan-Taylor beam model with fractional operators ⋮ On a beam model with degenerate nonlocal nonlinear damping ⋮ Stability of strong attractors for the extensible beam equation with gentle dissipation ⋮ Attractors for a class of extensible beams with strong nonlinear damping

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