TY - JOUR
T1 - Complex Eigenvalue Bounds in Magnetoatmospheric Shear Flow. II
AU - Cally, P. S.
AU - Adam, J. A.
PY - 1983/1/1
Y1 - 1983/1/1
N2 - A method discussed in Paper I (Cally, 1983) for determining complex eigenvalue bounds for second-order ordinary differential systems is applied to an isothermal, perfectly conducting, compressible, stratified medium permeated by a horizontal magnetic field and aligned shear flow. The magnetic field is chosen such that the Alfven velocity is everywhere constant. For this particular system, the eigenvalue bounds obtained are generally tighter than those obtained in Paper I, and an additional feature is that the bound on the maximum growth rate peaks at a finite value of horizontal wavenumber k, not as k+m, as is found in Paper I.
AB - A method discussed in Paper I (Cally, 1983) for determining complex eigenvalue bounds for second-order ordinary differential systems is applied to an isothermal, perfectly conducting, compressible, stratified medium permeated by a horizontal magnetic field and aligned shear flow. The magnetic field is chosen such that the Alfven velocity is everywhere constant. For this particular system, the eigenvalue bounds obtained are generally tighter than those obtained in Paper I, and an additional feature is that the bound on the maximum growth rate peaks at a finite value of horizontal wavenumber k, not as k+m, as is found in Paper I.
UR - http://www.scopus.com/inward/record.url?scp=84963167514&partnerID=8YFLogxK
U2 - 10.1080/03091928308209040
DO - 10.1080/03091928308209040
M3 - Article
AN - SCOPUS:84963167514
VL - 23
SP - 57
EP - 67
JO - Geophysical and Astrophysical Fluid Dynamics
JF - Geophysical and Astrophysical Fluid Dynamics
SN - 0309-1929
IS - 1
ER -