title: Phase-field model of Hele-Shaw flows in the high-viscosity contrast regime.
abstract: A one-sided phase-field model is proposed to study the dynamics of unstable interfaces of Hele-Shaw flows in the high viscosity contrast regime. The corresponding macroscopic equations are obtained by means of an asymptotic expansion from the phase-field model. Numerical integrations of the phase-field model in a rectangular Hele-Shaw cell reproduce finger competition with the final evolution to a steady-state finger.
authors.affiliation: Departament ECM, Facultat de Física, Universitat de Barcelona, Diagonal 647, E-08028 Barcelona, Spain.
authors.forename: A
authors.initials: A
authors.lastname: Hernández-Machado
authors.forename: A M
authors.initials: AM
authors.lastname: Lacasta
authors.forename: E
authors.initials: E
authors.lastname: Mayoral
authors.forename: E
authors.initials: E
authors.lastname: Corvera Poiré