Phd records
https://feeds.library.caltech.edu/people/Morgan-Antony-John-Andrew/Phd.rss
A Caltech Library Repository Feedhttp://www.rssboard.org/rss-specificationpython-feedgenenWed, 31 Jan 2024 19:29:01 +0000A General Similarity Theory of Partial Differential Equations and its Use in the Solution of Problems in Aeronautics
https://resolver.caltech.edu/CaltechETD:etd-03192009-091419
Authors: {'items': [{'id': 'Morgan-Antony-John-Andrew', 'name': {'family': 'Morgan', 'given': 'Antony John Andrew'}, 'show_email': 'NO'}]}
Year: 1951
DOI: 10.7907/9142-KZ49
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.
https://thesis.library.caltech.edu/id/eprint/1024