Instability proof for some transonic problems with resonant mode crossings

DOI10.1007/BF00418143zbMath0843.76042OpenAlexW2084044954MaRDI QIDQ1911117

Michael Renardy

Publication date: 16 April 1996

Published in: Theoretical and Computational Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00418143

zbMATH Keywords

complex planereal eigenvalueslinear shear flow in shallow watershear flow in non-Newtonian fluids

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Transonic flows (76H05) Hydrodynamic stability (76E99)

Cites Work

• Stability of shear flows of viscoelastic fluids under perturbations perpendicular to the plane of flow
• On an eigenvalue problem arising in the study of the stability of ocean currents
• [https://portal.mardi4nfdi.de/wiki/Publication:3757537 Stabilit�t der ebenen Couette-Str�mung eines Maxwell-Fluids und ihre kritische Weissenbergzahl]
• Stable and unstable shear modes of rotating parallel flows in shallow water
• The linear stability of viscous compressible plane Couette flow

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