Accession Number : ADA132862
Title : The Interfaces of One-Dimensional Flows in Porous Media.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Vazquez,Juan L
PDF Url : ADA132862
Report Date : Jul 1983
Pagination or Media Count : 38
Abstract : A porous media equation (PME) has been used as a model for a number of physical phenomena: heat diffusion at high temperatures, boundary layer theory, spread of a thin layer of viscous material and mainly the flow of gas in a porous medium. The most distinctive characteristic of the solutions to (PME) as compared with the linear heat equation is the finite speed of propagation. In this paper the properties of the interfaces are studied in terms of the initial data. Sometimes the interface is stationary for a certain time and then begins to move: we characterize the existence of a positive waiting time and give bounds for it.
Descriptors : *Mathematical models, *One dimensional flow, Boundary value problems, Porous materials, Media, Gas flow, Interfaces
Subject Categories : Numerical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE