On upper bounds for the growth rate in the extended Taylor-Goldstein problem of hydrodynamic stability

DOI10.1007/s12044-009-0012-5zbMath1202.76064OpenAlexW2017719541MaRDI QIDQ839976

N. E. Zubov

Publication date: 4 September 2009

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

Full work available at URL: https://doi.org/10.1007/s12044-009-0012-5

zbMATH Keywords

shear flowssea straitsvariable bottomHoward's conjecture

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Parallel shear flows in hydrodynamic stability (76E05) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items (7)

On the criterion for long wave stability of shear flows ⋮ Series solutions and a perturbation formula for the extended Rayleigh problem of hydrodynamic stability ⋮ On short wave stability and sufficient conditions for stability in the extended Rayleigh problem of hydrodynamic stability ⋮ On the long wave stability of shear flows in sea straits of arbitrary cross section ⋮ Unnamed Item ⋮ A Unified Instability Region for the Extended Taylor–Goldstein Problem of Hydrodynamic Stability ⋮ Short wave stability of homogeneous shear flows with variable topography

Cites Work

• Unnamed Item
• On the stability of homogeneous shear flows in sea straits of arbitrary cross section
• On the Taylor-Goldstein problem in hydrodynamic stability
• A proof of Howard's conjecture in homogeneous parallel shear flows
• On Howard's conjecture in heterogeneous shear flows instability of modified \(s\)-waves
• On Howard's conjecture in heterogeneous shear flow problem
• Note on a paper of John W. Miles
• On Stratified Shear Flow in Sea Straits of Arbitrary Cross Section
• Stability analysis adjacent to neutral solutions of the Taylor–Goldstein equation when Howard's formula breaks down
• An Upper Bound on the Growth Rate of a Linear Instability in a Homogeneous Shear Flow
• On the normal modes of parallel flow of inviscid stratified fluid. Part 2. Unbounded flow with propagation at infinity
• Importance of Tollmien's Counter Example
• Bounds on the phase speed and growth rate of the extended Taylor–Goldstein problem
• On the Rayleigh Problem in Hydrodynamic Stability
• Numerical studies of the stability of inviscid stratified shear flows
• On Howard's technique for perturbing neutral solutions of the Taylor-Goldstein equation

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