Bounds on the phase velocity in the linear instability of viscous shear flow problem in the \(\beta\)-plane

DOI10.1007/BF02829771zbMath1049.76026arXivmath-ph/0607059MaRDI QIDQ1422309

Jagjit Singh, R. G. Shandil

Publication date: 11 February 2004

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0607059

zbMATH Keywords

sufficient condition for stability

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Rotation in hydrodynamic stability (76E07) Stability and instability of geophysical and astrophysical flows (76E20)

Cites Work

• An Upper Bound on the Growth Rate of a Linear Instability in a Homogeneous Shear Flow
• Instability in Parallel Flows Revisited
• Eigenvalue Bounds for the Orr–Sommerfeld Equation and Their Relevance to the Existence of Backward Wave Motion
• Eigenvalue Bounds for the Orr—Sommerfeld Equation and their Relevance to the Existence of Backward Wave Motion—II
• Eigenvalue bounds for the Orr-Sommerfeld equation

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