We review recent results on dynamical aspects of viscous fingering. The Saffman–Taylor
instability is studied beyond linear stability analysis by means of a weakly nonlinear analysis …

We study the fingering instability of a circular interface between two immiscible liquids in a
radial Hele-Shaw cell. The cell rotates around its vertical symmetry axis, and the instability is …

We study the fingering instabilities that occur in the debonding of model adhesives. We
perform a linear analysis of the instability in the lifting Hele-Shaw cell, relevant for the failure …

Fluid-fluid interfaces, laden with polymers, surfactants, lipid bilayers, proteins, solid particles,
or other surface-active agents, often exhibit a rheologically complex response to …

The lifting Hele-Shaw cell setup is a popular modification of the classic, fixed-gap, radial
viscous fingering problem. In the lifting cell configuration, the upper cell plate is lifted such …

During the past few years, researchers have been proposing time-dependent injection
strategies for stabilizing or manipulating the development of viscous fingering instabilities in …

We investigate the effect of the capillary number Ca on the interfacial viscous fingering
instability in radially tapered Hele-Shaw cells. By employing a perturbative weakly nonlinear …

We discuss recent developments and applications of phase-field models to describe
interface phenomena far from equilibrium. The basic idea is to coarse-grain over …

We show, both theoretically and experimentally, that the interface between two viscous fluids
in a Hele-Shaw cell can be nonlinearly unstable before the Saffman-Taylor linear instability …

In rotating Hele-Shaw flows, centrifugal force acts, and the interface separating two viscous
fluids becomes unstable, driven by the density difference between them. Complex interfacial …