Fluid flow advecting one substance while others are immobilized can generate an instability in a homogeneous steady state of a reaction-diffusion-advection system. This differential-flow instability leads to the formation of steady spatial patterns in a moving reference frame. We study the effects of shear flow on this instability by considering two layers of fluid moving independently from eac...

The analytical treatment of nonlinear evolution of the shear-flow-modified current driven ion cyclotron instability and shear-flow-driven ion cyclotron kinetic instabilities of magnetic field–aligned plasma shear flow is presented. Analysis is performed on the base of the nonlinear dispersion equation, which accounts for a new combined effect of plasma turbulence and shear flow. It consists in ...

We review recent results on traffic instabilities. An innovative approach to traffic dynamics is proposed. The self-organized oscillatory and chaotic behavior of traffic flow are identified and formulated. The results agree with the empirical findings for freeway traffic and with the previous numerical simulations. Thus the work gives a justification for observed and simulated traffic instabili...

This chapter summarizes parts of the following textbook and review article: – P. J. Schmid & D. S. Henningson, Stability and Transition in Shear Flows, Springer, 2001. – P. Huerre & M. Rossi, Hydrodynamic instabilities in open flow, in Hydrodynamics and Nonlinear Instabilities, ed. C. Godrèche & P. Manneville, Cambridge University Press, 1998. References to the original bibliography follows the...

Instabilities in a two-phase electromagnetohydrodynamic (EMHD) flow between a pair of parallel electrodes are explored. A linear stability analysis has been performed based on a coupled Orr-Sommerfeld system generated from the conservation laws. The study shows the presence of a finite-wave-number EMHD mode of instability in addition to the two commonly observed instability modes in the pressur...