Diffusion of Fluid in a Fissured Medium with Microstructure
Ralph E. Showalter, Noel J. Walkington · SIAM Journal on Mathematical Analysis · 1991
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.