3 papers
cond-mat.stat-mech2002
Kinetic roughening in two-phase fluid flow through a random Hele-Shaw cell
E. Paune, J. Casademunt
A nonlocal interface equation is derived for two-phase fluid flow, with arbitrary wettability and viscosity contrast c=(mu_1-mu_2)/(mu_1+mu_2), in a model porous medium defined as…
nlin.PS2002
Effects of small surface tension in Hele-Shaw multifinger dynamics: an analytical and numerical study
E. Paune, M. Siegel, J. Casademunt
We study the singular effects of vanishingly small surface tension on the dynamics of finger competition in the Saffman-Taylor problem, using the asymptotic techniques described in…
nlin.PS2001
Dynamical Systems approach to Saffman-Taylor fingering. A Dynamical Solvability Scenario
E. Paune, F. X. Magdaleno, J. Casademunt
A dynamical systems approach to competition of Saffman-Taylor fingers in a channel is developed. This is based on the global study of the phase space structure of the low-dimension…