Accession Number : AD0725877

Title :   Stefan's Problem,

Corporate Author : COLD REGIONS RESEARCH AND ENGINEERING LAB HANOVER N H

Personal Author(s) : Kamenomostskaya,S. L.

Report Date : 1971

Pagination or Media Count : 50

Abstract : In the present work Stefan's problem in its general sense (multidimensional case, arbitrary number of initially unknown phase boundary surfaces, a thermal coefficient dependence of the phase on temperature) is analyzed. A determination of the general solution of the problem is introduced and it is shown, that the classical solution of the problem is general (theorem 1). Using the method of iniite differences the existence of solutions of the edge problem and the Cauchy problem are shown for an arbitrary segment of time. The uniqueness of the general solution is shown, from which in particular follows the uniqueness of the classical solution. (Author)

Descriptors :   (*CONDUCTION(HEAT TRANSFER), *CAUCHY PROBLEM), (*PARTIAL DIFFERENTIAL EQUATIONS, NUMERICAL INTEGRATION), DIFFERENCE EQUATIONS, INEQUALITIES, THEOREMS, USSR

Subject Categories : Theoretical Mathematics
      Thermodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE