Quasi-periodic solutions for d-dimensional beam equation with derivative nonlinear perturbation

DOI10.1063/1.4927249zbMath1321.35232OpenAlexW1573609874MaRDI QIDQ5500760

Hongzi Cong, Lufang Mi

Publication date: 10 August 2015

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

Full work available at URL: https://doi.org/10.1063/1.4927249

zbMATH Keywords

beam equationKolmogorov-Arnold-Moser theorem

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) PDEs in connection with mechanics of deformable solids (35Q74) Nearly integrable Hamiltonian systems, KAM theory (70H08) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (4)

KAM theory for the reversible perturbations of 2D linear beam equations ⋮ Quasi-periodic solutions of derivative beam equation on flat tori ⋮ Quasi-periodic solutions for quintic completely resonant derivative beam equations on T2 ⋮ On the existence of Sobolev quasi-periodic solutions of multidimensional nonlinear beam equation

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