On one mathematical model in elastic stability theory

DOI10.20537/VM190103zbMath1442.35450OpenAlexW2947730530WikidataQ127758868 ScholiaQ127758868MaRDI QIDQ5114300

Aleksandr Sergeevich Zapov

Publication date: 22 June 2020

Published in: Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vuu663

zbMATH Keywords

stabilityperiodic solutionsnonlinear evolution equationoscillations of rotor systems

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Vibrations in dynamical problems in solid mechanics (74H45) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

• Bifurcation to divergence and flutter in flow-induced oscillations: An infinite dimensional analysis
• Attractors of resonance wave type equations: Discontinuous oscillations
• Landau-Hopf scenario of passage to turbulence in some problems of elastic stability theory
• Non-linear semi-groups
• Bifurcations to divergence and flutter in flow-induced oscillations: A finite dimensional analysis
• Attractors of a nonlinear boundary value problem arising in aeroelasticity
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