S. Parhi et G. Nath, THE GROWTH OF PERTURBATIONS ASSOCIATED WITH THE LINEAR-STABILITY OF INVISCID FLUID-FLOWS, Applied mathematics and computation, 81(1), 1997, pp. 23-30
The qualitative nature of the growth of perturbations associated with
the linear stability of inviscid fluid flows has been studied in case
of stability of both compressible and incompressible swirling now in a
cylindrical tube or annulus and parallel stratified now with or witho
ut magnetic field. A new result of substantial mathematical usefulness
is obtained. Thus the conditions under which the amplitude of perturb
ation u(r) is a decreasing function of the spatial coordinate r are es
tablished. (C) Elsevier Science Inc., 1997