Stability of unsteady triaxial tension-compression of a viscous parallelepiped with respect to the energy measure

DOI10.1134/S0012266121050074zbMath1468.76031OpenAlexW3168323276MaRDI QIDQ2034733

D. V. Georgievskii

Publication date: 23 June 2021

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

Full work available at URL: https://doi.org/10.1134/s0012266121050074

zbMATH Keywords

variational inequalityLyapunov stabilityNewtonian fluidthree-dimensional perturbationsufficient stability criterion

Mathematics Subject Classification ID

Incompressible viscous fluids (76D99) Variational methods applied to problems in fluid mechanics (76M30) Hydrodynamic stability (76E99)

Cites Work

• Unnamed Item
• Evolution of perturbations imposed on 1D unsteady shear in a viscous half-plane with oscillating boundary
• Estimates of the exponential decay of perturbations superimposed on the longitudinal harmonic vibrations of a viscous layer
• Statements of linearized boundary value problems of continuum mechanics with a spectral parameter in the boundary conditions

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