Laplacian and diffusional growth: A unified theoretical description for symmetrical and parity-broken patterns

DOI10.1016/0167-2789(96)00090-5zbMath0900.73258OpenAlexW2043528695MaRDI QIDQ1814692

Martine Ben Amar, Efim A. Brener

Publication date: 30 October 1996

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(96)00090-5

zbMATH Keywords

scaling lawscrystal growthisotropic surface tensiondiffusion instabilitiesparity-broken double fingersSaffman-Taylor problem in sectorzero-surface-tension

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Statistical mechanics of crystals (82D25) Dynamical problems in solid mechanics (74H99) Equilibrium (steady-state) problems in solid mechanics (74G99)

Related Items (4)

Pushing a non-Newtonian fluid in a Hele-Shaw cell: From fingers to needles ⋮ Radial fingering in a Hele-Shaw cell: A weakly nonlinear analysis ⋮ Sensitivity of Saffman–Taylor fingers to channel-depth perturbations ⋮ Dynamics of finger arrays in a diffusion-limited growth model with a drift

Cites Work

• Unnamed Item
• A NOTE ON THE MOTION OF BUBBLES IN A HELE-SHAW CELL AND POROUS MEDIUM
• Analytic theory for the selection of a symmetric Saffman–Taylor finger in a Hele–Shaw cell
• Self-dilating viscous fingers in wedge-shaped Hele-Shaw cells
• Investigations on the dendrite problem at zero surface tension in 2D and 3D geometries

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