Long-time behavior for a class of extensible beams with nonlocal weak damping and critical nonlinearity

DOI10.1063/1.5128686zbMath1435.35259OpenAlexW3009671768MaRDI QIDQ5110775

Shan Ma, Chunxiang Zhao, Cheng-Kui Zhong

Publication date: 22 May 2020

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

Full work available at URL: https://doi.org/10.1063/1.5128686

zbMATH Keywords

attractorsdynamical systemsHilbert spacepartial differential equationsoperator theory

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Monotone operators and generalizations (47H05) Asymptotic behavior of solutions to PDEs (35B40) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial-boundary value problems for higher-order hyperbolic equations (35L35) PDEs in connection with mechanics of deformable solids (35Q74) Higher-order quasilinear hyperbolic equations (35L77)

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