Complex eigenvalue bounds in magnetoatmospheric shear flow. I

DOI10.1080/03091928308209039zbMath0524.76056OpenAlexW1992953214WikidataQ114640628 ScholiaQ114640628MaRDI QIDQ3036971

P. S. Cally

Publication date: 1983

Published in: Geophysical & Astrophysical Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03091928308209039

zbMATH Keywords

magnetoatmospherebounds on growth of instabilitiescomplex eigenvalue boundslinearised second order systemSquire's theorem for non-magnetic flowstratified horizontalunstable three-dimensional disturbance

Mathematics Subject Classification ID

Shear flows and turbulence (76F10) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25) Basic methods in fluid mechanics (76M99) Stability and instability of geophysical and astrophysical flows (76E20) Geophysics (86A99)

Related Items

Spectral theory and stability in astrophysics. I: Ideal magnetohydrodynamics, Integral invariants and complex eigenvalue bounds, A nonlinear eigenvalue problem in astrophysical magnetohydrodynamics: Some properties of the spectrum, Eigenvalue bounds for compressible stratified magnetoshear flows varying in two transverse directions

Cites Work

• Hydromagnetic wavelike instabilities in a rapidly rotating stratified fluid
• Convective Instability Induced by Gravity in a Plasma with a Frozen-In Magnetic Field
• Note on a paper of John W. Miles
• Restrictions upon instabilities of plane and helical gas flows
• Eigenvalue bounds in magnetoatmospheric shear flow
• MAGNETOHYDRODYNAMIC WAVE-ENERGY FLUX IN A STRATIFIED COMPRESSIBLE ATMOSPHERE WITH SHEAR
• Note on Howard's semicircle theorem
• A Method for Finding Bounds for Complex Eigenvalues of Second Order Systems
• The extension of the Miles-Howard theorem to compressible fluids
• Eigenvalue bounds in linear inviscid stability theory
• On the stability of heterogeneous shear flows