An Upper Bound on the Growth Rate of a Linear Instability in a Homogeneous Shear Flow

DOI10.1002/SAPM198572187zbMath0588.76068OpenAlexW1628232648MaRDI QIDQ3716596

Fred J. Hickernell

Publication date: 1985

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm198572187

zbMATH Keywords

Boussinesq approximationlinearized equationsbeta-planehomogeneous shear flowsnecessary criteriondecreased basic-state vorticity gradientinviscid, parallel shear flowstemporally growing modesupper bound on the growth rate

Mathematics Subject Classification ID

Parallel shear flows in hydrodynamic stability (76E05)

Related Items (4)

On upper bounds for the growth rate in the extended Taylor-Goldstein problem of hydrodynamic stability ⋮ Bounds on the phase velocity in the linear instability of viscous shear flow problem in the \(\beta\)-plane ⋮ Unnamed Item ⋮ Zonal shear flows with a free surface: Hamiltonian formulation and linear and nonlinear stability

Cites Work

• Note on a paper of John W. Miles
• On the inviscid instability of the hyperbolictangent velocity profile
• On the stability of heterogeneous shear flows

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