The background method is a widely used technique to bound mean properties of turbulent
flows rigorously. This work reviews recent advances in the theoretical formulation and …

This review article summarizes two decades of laboratory research aimed at understanding
the dynamics of accretion disks, with particular emphasis on magnetohydrodynamic …

Non-normal transient growth of disturbances is considered as an essential prerequisite for
subcritical transition in shear flows, ie transition to turbulence despite linear stability of the …

Rayleigh's stability criterion describes the inviscid stability of rotating fluid flows. Despite the
limitations of the criterion due to the assumptions used, it has been widely viewed as a …

The stability of Taylor–Couette flow modulated by oscillatory wall suction/blowing is
investigated using Floquet linear stability analysis. The growth rate and stability mode are …

This paper is concerned with the optimal upper bound on mean quantities (torque,
dissipation and the Nusselt number) obtained in the framework of the background method …

Taylor–Couette (TC) flow is used to probe the hydrodynamical (HD) stability of astrophysical
accretion disks. Experimental data on the subcritical stability of TC flow are in conflict about …

Extending previous linear stability analyses of the instabilities developing in permeable
Taylor–Couette–Poiseuille flows where axial and radial throughflows are superimposed on …

We study the stability of the Couette–Taylor flow between porous cylinders with radial
throughflow. It had been shown earlier that this flow can be unstable with respect to non …

We examine the shear states and vortices of rotational Couette flows with radial injection
and suction. The gap of finite radius and infinite axial length lying between two concentric …