Diffusion of fluid in a fissured medium with microstructure

@article{Showalter1991DiffusionOF,
  title={Diffusion of fluid in a fissured medium with microstructure},
  author={R. E. Showalter and Noel J. Walkington},
  journal={Siam Journal on Mathematical Analysis},
  year={1991},
  volume={22},
  pages={1702-1722}
}
A system of quasilinear degenerate parabolic equations arising in the modeling of diffusion in a fissured medium is studied. There is one such equation in the local cell coordinates at each point of the medium, and these are coupled through a similar equation in the global coordinates. It is shown that the initial boundary value problems are well posed in the appropriate spaces. 

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