A General Similarity Theory of Partial Differential Equations and its Use in the Solution of Problems in Aeronautics

Citation

Morgan, Antony John Andrew (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. doi:10.7907/9142-KZ49. https://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.))
Subject Keywords:	(Aeronautics and Mathematics)
Degree Grantor:	California Institute of Technology
Division:	Engineering and Applied Science
Major Option:	Aeronautics
Minor Option:	Mathematics
Thesis Availability:	Public (worldwide access)
Research Advisor(s):	Michal, Aristotle D. (advisor) Liepmann, Hans Wolfgang (advisor)
Group:	GALCIT
Thesis Committee:	Michal, Aristotle D. (chair) Sechler, Ernest Edwin Liepmann, Hans Wolfgang Stewart, Homer Joseph Fung, Yuan-cheng
Defense Date:	1 January 1951
Additional Information:	Thesis title listed in 1951 Caltech Commencement program as: Turbulence in Supersonic Flow
Record Number:	CaltechETD:etd-03192009-091419
Persistent URL:	https://resolver.caltech.edu/CaltechETD:etd-03192009-091419
DOI:	10.7907/9142-KZ49
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:	03 May 2023 21:51

Thesis Files

Preview

PDF (Morgan_aja_1951.pdf) - Final Version
See Usage Policy.
11MB

Repository Staff Only: item control page