Parabolic and Degenerate Parabolic Models for Pressure-driven Transport Problems

  title={Parabolic and Degenerate Parabolic Models for Pressure-driven Transport Problems},
  author={Catherine Choquet},
We consider two models of °ow and transport in porous media, the ̄rst one for consolidational °ow in compressible sedimentary basins, the second one for °ow in partially saturated media. Despite the di®erences in these physical settings, they lead to quite similar mathematical models with a strong pressure coupling. The ̄rst model is a coupled system of pde's of parabolic type. The second one involves a coupled system of pdes of degenerate parabolic hyperbolic type. We state an existence result… CONTINUE READING

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