Friedrichs inequalities and sharpened sufficient stability conditions of plane-parallel flows

DOI10.3103/S0027133022030049MaRDI QIDQ2087647

D. V. Georgievskii

Publication date: 21 October 2022

Published in: Moscow University Mechanics Bulletin (Search for Journal in Brave)

zbMATH Keywords

eigenvalue problemOrr-Sommerfeld equationspectral parameterquadratic functionaleigenvalue minimizationlinearized stability theory

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Parallel shear flows in hydrodynamic stability (76E05)

Cites Work

• Asymptotics of eigenvalues in the Orr-Sommerfeld problem for low velocities of unperturbed flow
• Eigenvalue bounds for the Orr-Sommerfeld equation
• Eigenvalue bounds for the Orr—Sommerfeld equation. Part 2
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