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A general similarity theory of partial differential equations and its use in the solution of problems in aeronautics

Citation

Morgan, Antony J. A. (1951) A general similarity theory of partial differential equations and its use in the solution of problems in aeronautics. Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechETD:etd-03192009-091419

Abstract

A general similarity theory of systems of partial differential equations of any order in any number of independent variables is developed with the aid of the theory of continuous one-parameter groups of transformations. The theory is illustrated by means of several known examples of similarity equations, previously given without motivation, in Hydrodynamics. With the aid of the theory two new examples of similarity equations, one in Elasticity and one in Fluid Mechanics, have been found; these are discussed in the text.

Item Type:Thesis (Dissertation (Ph.D.))
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Aeronautics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Liepmann, Hans Wolfgang
Thesis Committee:
  • Michal, Aristotle D. (chair)
  • Sechler, Ernest Edwin
  • Liepmann, Hans Wolfgang
  • Stewart, Homer Joseph
  • Fung, Yuan-cheng
Defense Date:1 January 1951
Record Number:CaltechETD:etd-03192009-091419
Persistent URL:http://resolver.caltech.edu/CaltechETD:etd-03192009-091419
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:1024
Collection:CaltechTHESIS
Deposited By: Imported from ETD-db
Deposited On:19 Mar 2009
Last Modified:26 Dec 2012 02:34

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