How an Initially Stationary Interface Begins to Move in Porous Medium Flow
Authors:
- D. G. AronsonDAD. G. Aronson
- L. A. CaffarelliLCL. A. Caffarelli
- S. KaminSKS. Kamin
- 1 July 1983
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Mathematical Analysis
- Vol. 14 (4) , 639-658
Abstract
The interface we study is the boundary of the support of the density of a gas flowing in a homogeneous porous medium. It is known that for certain initial distributions the interface remains stationary for a positive time. We derive upper and lower estimates for this waiting time and give a condition which is sufficient to guarantee that the interface begins to move in a smooth manner. In some cases our estimates give the exact waiting time.Keywords
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