Classical Solvability of the Radial Viscous Fingering Problem in a Hele–Shaw Cell with Surface Tension

DOI10.1007/s10958-017-3634-7zbMath1399.76024OpenAlexW2779753684MaRDI QIDQ5373986

Hisasi Tani

Publication date: 6 April 2018

Published in: Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-017-3634-7

zbMATH Keywords

surface tensionclassical solutionHele-Shaw problemradial viscous fingering structure

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Free boundary problems for PDEs (35R35) Other free boundary flows; Hele-Shaw flows (76D27)

Related Items

Classical Solvability of the Two-Phase Radial Viscous Fingering Problem in a Hele-Shaw Cell

Cites Work

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• Classical solutions for Hele-Shaw models with surface tension
• On the justification of the quasistationary approximation in the problem of motion of a viscous capillary drop
• The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
• Existence results for Hele–Shaw flow driven by surface tension
• Classical Solutions of Multidimensional Hele--Shaw Models
• On one proof of the classical solvability of the Hele-Shaw problem with free boundary
• Classical Solvability of the Two-Phase Radial Viscous Fingering Problem in a Hele-Shaw Cell