Fingering in a Hele-Shaw cell as an Obstacle-Like Problem

DOI10.1512/IUMJ.2000.49.1823zbMath0971.76021OpenAlexW2092779516MaRDI QIDQ2733850

Giovanni Caruso, Emmanuele DiBenedetto, Daniele Andreucci

Publication date: 12 August 2001

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2000.49.1823

zbMATH Keywords

asymptotic expansionobstacle problemSaffman-Taylor problemselection mechanismHele-Shaw fingeringdam-like problemirregular fingersvariational formation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Variational methods applied to problems in fluid mechanics (76M30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Other free boundary flows; Hele-Shaw flows (76D27)

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