Long Wavelength Asymptotics of Self-Oscillations of Viscous Incompressible Fluid

DOI10.1007/978-3-030-49763-7_15zbMath1479.35631OpenAlexW3121056041MaRDI QIDQ5013606

S. V. Revina

Publication date: 2 December 2021

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-49763-7_15

zbMATH Keywords

Kolmogorov flowlong wavelength asymptoticsstability of two-dimensional viscous flows

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Navier-Stokes equations (35Q30) Bifurcations in context of PDEs (35B32)

Cites Work

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• Onset of self-oscillations upon the loss of stability of spatially periodic two-dimensional viscous fluid flows relative to long-wave perturbations
• Instability of long-wave viscous flows
• Stability of the Kolmogorov flow and its modifications
• The onset of auto-oscillations in a fluid
• Investigation of auto-oscillations of a continuous medium, occurring at loss of stability of a stationary mode
• Investigation of the stability of a stationary solution of a system of equations for the plane movement of an incompressible viscous liquid
• On the Stability of Two-Dimensional Flows Close to the Shear
• Recurrence formulas for long wavelength asymptotics in the problem of shear flow stability
• Example of the generation of a secondary stationary or periodic flow when there is loss of stability of the laminar flow of a viscous incompressible fluid
• Initiation of self-oscillations at loss of stability of spatially-periodic, three-dimensional viscous flows with respect to long-wave perturbations

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