Interfacial pattern formation in nonlinear dynamic systems: Dendrites, fingers and interfacial waves by

DOI10.1016/S0362-546X(97)00412-4zbMath0906.35120OpenAlexW2075423917MaRDI QIDQ4375933

Jian-Jun Xu

Publication date: 16 February 1999

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(97)00412-4

zbMATH Keywords

pattern formationviscous fingeringStokes phenomenoninterfacial instabilitiesinterfacial wavesdendrite growth

Mathematics Subject Classification ID

Free boundary problems for PDEs (35R35) Other natural sciences (mathematical treatment) (92F05)

Cites Work

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• Two-dimensional dendritic growth with anisotropy of surface tension
• The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
• Global instability of viscous fingering in a Hele–Shaw cell: formation of oscillatory fingers
• Nonlinear unstable viscous fingers in Hele–Shaw flows. II. Numerical simulation
• A boundary-integral method for two-phase displacement in Hele-Shaw cells
• Analytic theory for the selection of a symmetric Saffman–Taylor finger in a Hele–Shaw cell
• The effect of surface tension on the shape of fingers in a Hele Shaw cell
• Interfacial wave theory for oscillatory finger formation in a Hele–Shaw cell: a comparison with experiments
• Interfacial instabilities and fingering formation in Hele-Shaw flow
• Asymptotic Theory of Steady Axisymmetrical Needlelike Crystal Growth

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