Self-similar Focusing in Porous Media: An Explicit Calculation

Details Self-similar Focusing in Porous Media: An Explicit Calculation Self-similar Focusing in Porous Media: An Explicit Calculation

2008-06-30

arxiv.org/abs/0806.4878v1

Mathematics

Analysis of PDEs

laTex, 5 pages

Scientific paper

We consider a porous mediaum flow in which the gas is initially distributed in the exterior of an empty region (a hole) and study the final stage of the hole-filling process. Hole-filling is asymptotically described by a self-similar solution which depends on a constant determined by the initial configuration. In general, this constant must be found numerically.. Here we give an example of a one-dimensional symmetric flow where the constant is obtained explicitly.

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