Estimates of the exponential decay of perturbations superimposed on the longitudinal harmonic vibrations of a viscous layer

DOI10.1134/S00122661200100109zbMath1452.76066OpenAlexW3101311347MaRDI QIDQ2212361

D. V. Georgievskii

Publication date: 23 November 2020

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s00122661200100109

zbMATH Keywords

variational inequalitysufficient stability conditionOrr-Sommerfeld problemintergral relation method

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Parallel shear flows in hydrodynamic stability (76E05)

Related Items (3)

Tangential shear stress in oscillatory flow of a viscoelastic incompressible fluid in a plane channel ⋮ Stability with respect to energetic measures for biaxial tension-compression of a beam with rectangular cross-section ⋮ Stability of unsteady triaxial tension-compression of a viscous parallelepiped with respect to the energy measure

Cites Work

• Unnamed Item
• Evolution of perturbations imposed on 1D unsteady shear in a viscous half-plane with oscillating boundary
• Statements of linearized boundary value problems of continuum mechanics with a spectral parameter in the boundary conditions
• Finite-wavelength instability in a horizontal liquid layer on an oscillating plane
• Eigenvalue bounds for the Orr—Sommerfeld equation. Part 2
• TRACE FORMULAS IN THE CASE OF THE ORR-SOMMERFELD EQUATION

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