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Fluid flow in a medium distorted by a quasiconformal map can produce fractal boundaries

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Publication:4893020
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DOI10.1017/S0956792500002151zbMath0877.76073OpenAlexW2044919776MaRDI QIDQ4893020

Olli Martio, Bernt Øksendal

Publication date: 14 December 1997

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

Full work available at URL: https://doi.org/10.1017/s0956792500002151


zbMATH Keywords

saturation functionpermeability matrixwet region


Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Flows in porous media; filtration; seepage (76S05) Fractals (28A80)


Related Items (2)

A MOVING BOUNDARY PROBLEM IN A STOCHASTIC MEDIUM ⋮ The pressure equation for fluid flow in a stochastic medium



Cites Work

  • Unnamed Item
  • Applications of Variational Inequalities to a Moving Boundary Problem for Hele Shaw Flows
  • Non-newtonian Hele-Shaw flows in n ⩾2 dimensions
  • Hele-Shaw type flows in Rn
  • A variational inequality approach to Hele-Shaw flow with a moving boundary
  • Hausdorff Dimension and Quasiconformal Mappings


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