On diffusive slowdown in three-layer Hele-Shaw flows

DOI10.1090/S0033-569X-2010-01174-3zbMath1425.76076OpenAlexW2083662906MaRDI QIDQ3586736

Gelu I. Paşa, Prabir K. Daripa

Publication date: 1 September 2010

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://www.ams.org/journals/qam/2010-68-03/S0033-569X-2010-01174-3/home.html

Mathematics Subject Classification ID

Diffusion (76R50) Finite difference methods applied to problems in fluid mechanics (76M20) Three or more component flows (76T30) Hydrodynamic stability (76E99) Other free boundary flows; Hele-Shaw flows (76D27)

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Cites Work

• On the growth rate for three-layer Hele-Shaw flows: variable and constant viscosity cases
• New bounds for stabilizing Hele-Shaw flows
• Stability and transition in shear flows
• On Hele-Shaw models with surface tension
• A Cauchy integral approach to Hele-Shaw problems with a free boundary: The case of zero surface tension
• The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
• EXACT SOLUTIONS FOR THE GROWTH OF FINGERS FROM A FLAT INTERFACE BETWEEN TWO FLUIDS IN A POROUS MEDIUM OR HELE-SHAW CELL
• The effect of mobility gradients on viscous instabilities in miscible flows in porous media
• Stability of miscible displacements across stratified porous media
• A Theory of the Optimal Policy of Oil Recovery by Secondary Displacement Processes
• Linear Stability of Miscible Displacement Processes in Porous Media in the Absence of Dispersion
• Viscous fingering in Hele-Shaw cells
• The effect of surface tension on the shape of fingers in a Hele Shaw cell
• Complex variable methods in Hele–Shaw moving boundary problems
• Singularities in Hele--Shaw Flows
• Surprises in viscous fingering
• Crystalline Saffman–Taylor Fingers

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