Existence for a Problem in Ground Freezing.

Abstract

A system of two elliptic p.d.e.'s, which model the conduction-convection problem in a porous medium with change of phase is considered. The first equation describes the heat conduction and holds in a fixed domain. The second takes into account the convective motions and holds in the unknown melted part of the region. The existence of a locally regular weak solution is proved by making use of various compactness arguments.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1983
Accession Number
ADA132826

Entities

People

  • C. M. Elliott
  • E. Dibenedetto

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Boundaries
  • Convection
  • Differential Equations
  • Engineering
  • Equations
  • Flow
  • Fluid Dynamics
  • Fluid Flow
  • Freezing
  • Groundwater
  • Heat Energy
  • Heat Transfer
  • Mathematics
  • Models
  • Temperature Gradients
  • United States
  • Universities

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Materials Science and Engineering.
  • Systems Analysis and Design