GROUP THEORETIC TECHNIQUES FOR THE SIMILARITY SOLUTION OF SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS WITH AUXILIARY CONDITIONS.

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)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1966
Accession Number
AD0648194

Entities

People

  • M. J. Moran
  • R. A. Gaggioli

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Differential Equations
  • Equations
  • Flow
  • Heat Transfer
  • Mathematics
  • Partial Differential Equations
  • Viscous Flow

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis