The interfaces of one-dimensional flows in porous media
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.
- Publication:
-
NASA STI/Recon Technical Report N
- Pub Date:
- July 1983
- Bibcode:
- 1983STIN...8414478V
- Keywords:
-
- Boundary Value Problems;
- One Dimensional Flow;
- Porous Materials;
- Thermodynamics;
- Asymptotic Methods;
- Density Distribution;
- Dirac Equation;
- Gas Flow;
- Interfaces;
- Mathematical Models;
- Fluid Mechanics and Heat Transfer