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
Distribution Statement : APPROVED FOR PUBLIC RELEASE