A possibility of realizing the Landau-Hopf scenario in the problem of tube oscillations under the action of a fluid flow

DOI10.1134/S0040577920040066zbMath1447.74017OpenAlexW3021042831MaRDI QIDQ2193714

D. A. Kulikov, Anatoly Kulikov

Publication date: 20 August 2020

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577920040066

zbMATH Keywords

stabilityasymptotic solutionbifurcationinvariant torusnonlinear evolution boundary value problem

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Stability of dynamical problems in solid mechanics (74H55) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60) Transition to turbulence (76F06)

Related Items

Cahn-Hilliard equation with two spatial variables. Pattern formation

Cites Work

• Invariant tori of a class of point mappings: The annulus principle
• Invariant tori of a class of point transformations: Preservation of an invariant torus under perturbations
• Dynamics of continuously controlling rod temperature as a singularly perturbed problem
• Landau-Hopf scenario of passage to turbulence in some problems of elastic stability theory
• Non-linear semi-groups
• On the nature of turbulence
• Note concerning our paper On the nature of turbulence. Commun. math. Phys. 20, 167-192 (1971)
• Bifurcations to divergence and flutter in flow-induced oscillations: A finite dimensional analysis
• A mathematical example displaying features of turbulence
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item