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.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1983
Accession Number
ADA132862

Entities

People

  • Juan L. Vazquez

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Layer
  • Classification
  • Contracts
  • Differential Equations
  • Diffusion
  • Equations
  • High Temperature
  • Inequalities
  • Intervals
  • Layers
  • Materials
  • Mathematics
  • Minnesota
  • Notation
  • Theorems
  • United States

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Electrochemical Engineering/ Fuel Cell Technologies
  • Fluid Mechanics and Fluid Dynamics.