Patterns found at driven interfaces add richness and beauty to the visual world, but they
build processing-history-dependent inhomogeneities into samples of materials whose …

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

We present an analytical treatment of the problem of pattern selection in a fully non-local
symmetrical model of dendritic crystal growth. Simplifications of mathematical equations are …

A numerical model has been used to describe the steady and the non-steady growth of array
cells and dendrites in a moving linear temperature field. It was found that the four parameter …

In this paper, we review some aspects of viscous fingering in a Hele-Shaw cell that at first
sight appear to defy intuition. These include singular effects of surface tension relative to the …

We study the viscous fingering instability which results from a competition between capillary
and viscous forces. We show that for two different systems the instability is modified …

Viscous fingers form when in a thin linear channel a fluid pushes a more viscous fluid. The
instability of the interface results from a competition between viscous and capillary forces …

In the framework of the exact nonlocal thermal conductivity problem, the effect of anisotropy
both of surface energy and kinetics on the selection of velocity and direction of two …

A controlled perturbation is introduced into the Saffman-Taylor flow problem by adding a
gradient to the gap of a Hele-Shaw cell. The stability of the single-finger steady state was …

We make a theoretical study of the finger behavior of a simple fluid displacing a non-
Newtonian fluid confined in a Hele–Shaw cell. We study the Saffman–Taylor instability when …