Stability of Fluid Motions—I

Abstract

Aspects of global stability and uniqueness are considered together with questions of instability and bifurcation, friction factor response curves for flow through annular ducts, the global stability of Couette flow between rotating cylinders, the global stability of spiral Couette–Poiseuille flows, and the flow and stability of flow between concentric rotating spheres. Attention is also given to the stability of constant gradient solutions of the Oberbeck–Boussinesq equations, the global stability of constant temperature-gradient and concentration-gradient states of a motionless heterogeneous fluid, two-sided bifurcation into convection, the stability of supercritical convection-wave number selection through stability, the variational theory of turbulence applied to convection in porous materials heated from below, stability problems for viscoelastic fluids, and problems of interfacial stability.