" Viscous fingering" generally refers to the onset and evolution of insta bilities that occur in
the displacement of fluids in porous materials. In most but not all cases, the mechanism of …

A variety of non-equilibrium growth processes are characterized by phase boundaries
consisting of moving fingers, often with interesting secondary structures such as …

The phenomenon of interfacial motion between two immiscible viscous fluids in the narrow
gap between two parallel plates (Hele-Shaw cell) is considered. This flow is currently of …

The free creeping viscous incompressible plane flow of a finite region, bounded by a simple
smooth closed curve and driven solely by surface tension, is analysed. The shape evolution …

The classical model for studying one-phase Hele-Shaw flows is based on a highly nonlinear
moving boundary problem with the fluid velocity related to pressure gradients via a Darcy …

A series of experiments are performed in a Hele-Shaw cell, consisting of two parallel closely
spaced glass plates. A liquid (oil or water, both of viscosity of 1.0 cP) is injected at a constant …

We discuss the one-phase Hele–Shaw problem in two space dimensions. We review exact
solutions in the zero-surface-tension case, giving a unified account of the Schwarz function …

This monograph presents recent and new ideas arising from the study of problems of planar
fluid dynamics, and which are interesting from the point of view of geometric function theory …

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 …

The Saffman–Taylor fingers are studied in cells that have the form of sectors of a disk. The
less viscous fluid can be injected at the apex (divergent flow) or at the periphery (convergent …