On the Uniqueness of the Classical Solutions of the Radial Viscous Fingering Problems in a Hele-Shaw Cell

DOI10.17516/1997-1397-2021-14-4-475-482OpenAlexW3209086390MaRDI QIDQ5071373

Atusi Tani, Hisasi Tani

Publication date: 21 April 2022

Published in: Journal of Siberian Federal University. Mathematics & Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/jsfu932

zbMATH Keywords

classical solutionunique existenceradial viscous fingering

Mathematics Subject Classification ID

Miscellaneous topics in partial differential equations (35Rxx) Incompressible viscous fluids (76Dxx) Elliptic equations and elliptic systems (35Jxx)

Cites Work

• Two-phase free boundary problem for compressible viscous fluid motion
• The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
• 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
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