On the Stability of Two-Dimensional Flows Close to the Shear

DOI10.14529/mmp190303zbMath1430.35188OpenAlexW2997480576MaRDI QIDQ5212519

S. V. Revina, Ol'Ga Valer'Evna Kirichenko

Publication date: 29 January 2020

Published in: Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software" (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vyuru502

zbMATH Keywords

neutral stability curveslong-wave asymptoticsstability of two-dimensional viscous flows

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Navier-Stokes equations (35Q30)

Related Items (1)

Long Wavelength Asymptotics of Self-Oscillations of Viscous Incompressible Fluid

Cites Work

• Onset of self-oscillations upon the loss of stability of spatially periodic two-dimensional viscous fluid flows relative to long-wave perturbations
• Unimodal patterns appearing in the two-dimensional Navier-Stokes flows under general forcing at large Reynolds numbers
• Stability of the Kolmogorov flow and its modifications
• Investigation of the stability of a stationary solution of a system of equations for the plane movement of an incompressible viscous liquid
• On the Solution of an Inverse Problem Simulating Two-Dimensional Motion of a Viscous Fluid
• Recurrence formulas for long wavelength asymptotics in the problem of shear flow stability

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