The subject of ocean turbulence is in a state of discovery and development with many
intellectual challenges. This book describes the principal dynamic processes that control the …

This book is a revised edition of my earlier book of the same title. The cur rent edition adopts
the structure of the earlier version but is much changed. The introduction now contains …

Pattern formation in systems with a conserved quantity is considered by studying the
appropriate amplitude equations. The conservation law leads to a large-scale neutral mode …

In this paper we develop a new generic model for phototaxis in a suspension of microscopic
swimming algae. Phototaxis is a directed swimming response dependent upon the light …

Penetrative convection in a two-layer system in which a layer of fluid overlies and saturates
a porous medium is simulated via internal heating. The motion in the porous medium is …

We investigate the onset of convection in internally heated fluids with strongly temperature-
dependent viscosity by solving numerically a non-linearized system of thermal convection …

A vast amount has been learned from the single-layer Rayleigh-Bénard convection pattern
formation problem. By adding a second layer of fluid immiscible with the first we form a two …

A linear instability analysis and a nonlinear energy stability analysis is developed for
convection in an anisotropic porous medium. The nonlinear analysis is very important since …

The onset of convection in a rotating plane layer due to a vertical temperature gradient is
studied in this paper. The background stratification is modulated by lateral temperature …

Suppose that the density of stationary unbounded viscous fluid is a sinusoidal function of the
vertical position coordinate z. Is this body of fluid gravitationally unstable to small …