Global existence, singular solutions, and ill-posedness for the Muskat problem
The Muskat, or Muskat--Leibenzon, problem describes the evolution of the interface between two immiscible fluids in a porous medium or Hele-Shaw cell under applied pressure gradients or fluid injection/extraction. In contrast to the Hele-Shaw problem (the one-phase version of the Muskat problem), t...
Main Authors: | Siegel, M, Caflisch, R, Howison, S |
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Format: | Journal article |
Published: |
2004
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