This review highlights the profound and unexpected ways in which viscosity varying in
space and time can affect flow. The most striking manifestations are through alterations of …

Ubiquitous nonlinear waves in dispersive media include localized solitons and extended
hydrodynamic states such as dispersive shock waves. Despite their physical prominence …

We study buoyant displacement flows with two miscible fluids of equal viscosity in the
regime of low Atwood number and in ducts that are inclined close to horizontal. Using a …

The observation of traveling breathers (TBs) with large-amplitude oscillatory tails realizes an
almost 50-year-old theoretical prediction [EA Kuznetsov and AV Mikhailov, Stability of …

We study characteristics of miscible displacement flows in inclined pipes with density-stable
configuration, meaning the lighter fluid is pumped to displace the heavier fluid downward …

We study the effect of buoyancy on pressure-driven flow of two miscible fluids in inclined
channels via direct numerical simulations. The flow dynamics are governed by the continuity …

We analyse the linear stability of a reactive plane Poiseuille flow, where a reactant fluid A
overlies another reactant B in a layered fashion within a two-dimensional channel. Both …

We present results from a study of buoyant miscible displacements flows at moderate
viscosity ratios in near-horizontal ducts. Low Atwood numbers are considered. Inertial effects …

We perform linear stability calculations for a jet emerging into an ambient medium of a
different viscosity but the same density. These calculations are intended to isolate the effects …

We consider the linear and nonlinear stability of two-phase density-matched but viscosity-
contrasted fluids subject to laminar Poiseuille flow in a channel, paying particular attention to …