On Arresting the Linear Growth Rate for the Magnetohydrodynamic Thermal Stability Problem in Completely Confined Fluids

This paper carries forward Sherman and Ostrach’s (J. Fluid Mech. 24 (1966) 661–671) analysis for the magnetohydrodynamic thermal stability problem in completely confined fluids and derives a bound for the linear complex growth rate of an arbitrary oscillatory perturbation which may be neutral or unstable through the use of some nontrivial integral estimates obtained from the coupled system of perturbation equations governing the problem