Dynamics and selection of fingering patterns. Recent developments in the Saffman-Taylor problem
From MaRDI portal
Publication:1578832
DOI10.1016/S0370-1573(00)00054-5zbMath1058.76549MaRDI QIDQ1578832
F. X. Magdaleno, Jaume Casademunt
Publication date: 12 September 2000
Published in: Physics Reports (Search for Journal in Brave)
convectionnonlinear dynamical systemschaotic systemschannel geometryHele-Shaw cellSaffman-Taylor problemviscous fingeringflow instabilityfinite surface tensionsolvability theorydynamic solvabilityfinger competitionfingering patterns dynamicsfingering patterns selectionHelen-Shaw cellmultifinger configurations selectionnontrivial multifinger solutionssingular surface tensionstationary finger coexistencetwo-finger competition processzero-surface tension solutions
Related Items
Geometric approach to stationary shapes in rotating Hele-Shaw flows ⋮ Viscous fingering phenomena in the early stage of polymer membrane formation ⋮ Self-similar asymptotics for a class of Hele-Shaw flows driven solely by surface tension ⋮ Viscous fingering as a paradigm of interfacial pattern formation: Recent results and new challenges
Cites Work
- Unnamed Item
- Unnamed Item
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Finger competition and viscosity contrast in viscous fingering. A topological approach
- Long-time behavior of the \(N\)-finger solution of the Laplacian growth equation
- The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
- Asymptotics beyond All Orders in a Model of Crystal Growth
- SINGULARITY DEVELOPMENT IN MOVING-BOUNDARY PROBLEMS
- Fingering in Hele-Shaw cells
- Analytic theory for the selection of a symmetric Saffman–Taylor finger in a Hele–Shaw cell
- A numerical study of the effect of surface tension and noise on an expanding Hele–Shaw bubble
- Singular effects of surface tension in evolving Hele-Shaw flows
- Evolution of Hele-Shaw interface for small surface tension
