Accession Number : AD0648194
Title : GROUP THEORETIC TECHNIQUES FOR THE SIMILARITY SOLUTION OF SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS WITH AUXILIARY CONDITIONS.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Gaggioli,R. A. ; Moran,M. J.
Report Date : AUG 1966
Pagination or Media Count : 94
Abstract : A systematic formalism is presented for reducing the number of independent variables in some systems of partial differential equations with boundary and initial conditions. The procedure is a further modification of the one-parameter group methods (Birkhoff, Morgan). Basically, two techniques are presented which yield an orderly attack of practical problems: (I) Boundary and initial conditions are taken into account explicitly when establishing a suitable transformation group. (II) The invariants of a transformation group are determined via group theory. Viscous flow and heat transfer problems serve as illustrations. (Author)
Descriptors : (*GROUPS(MATHEMATICS), *PARTIAL DIFFERENTIAL EQUATIONS), TRANSFORMATIONS(MATHEMATICS), BOUNDARY VALUE PROBLEMS, BOUNDARY VALUE PROBLEMS, ELASTIC PROPERTIES, HEAT TRANSFER, FLUID MECHANICS
Subject Categories : Numerical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE