Accession Number : ADA132826

Title :   Existence for a Problem in Ground Freezing.

Descriptive Note : Technical rept.,

Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : DiBenedetto,E ; Elliott,C M

PDF Url : ADA132826

Report Date : Aug 1983

Pagination or Media Count : 33

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.

Descriptors :   *Ground water, *Freezing, *Heat transfer, *Mathematical models, Boundaries, Melting, Conduction(Heat transfer), Convection(Heat transfer), Temperature gradients, Equations

Subject Categories : Soil Mechanics
      Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE