On a Free Boundary Problem for a Strongly Degenerate Quasi-Linear Parabolic Equation with an Application to a Model of Pressure Filtration

@article{Brger2002OnAF,
  title={On a Free Boundary Problem for a Strongly Degenerate Quasi-Linear Parabolic Equation with an Application to a Model of Pressure Filtration},
  author={Raimund B{\"u}rger and Hermano Frid and Kenneth H. Karlsen},
  journal={SIAM J. Math. Analysis},
  year={2002},
  volume={34},
  pages={611-635}
}
We consider a free boundary problem of a quasi-linear strongly degenerate parabolic equation arising from a model of pressure filtration of flocculated suspensions. We provide definitions of generalized solutions of the free boundary problem in the framework of L2 divergence-measure fields. The formulation of boundary conditions is based on a Gauss--Green theorem for divergence-measure fields on bounded domains with Lipschitz deformable boundaries and avoids referring to traces of the solution… CONTINUE READING

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