Non-Standard Analysis and Magnetohydrodynamic Shock ...

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Non-Standard Analysis and Magnetohydrodynamic Shock Waves

Name:Personal
Terlep, Arthur
Role :Text(marcrelator)
creator

Name:Personal
Stanescu, Dan
Role :Text(marcrelator)
contributor

typeOfResource
still image
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Origin Information Place
Laramie, Wyoming

University of Wyoming
(keyDate="yes")
2009-05-18

Language:Text
eng

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abstract
The basis for this theoretical research is the developing field of nonstandard analysis and its particular application to shock wave theory. The aim of the project was the “bridge” the discontinuity in the Heaviside function present in the equations of shock theory using the Hyperreal number system. My research primarily focused on learning the basics of shock wave theory, studying infinitesimal calculus and applying functions to the discontinuities. The reason and the result of this is that these equations are now smooth and easily differentiable, which simplifies the equations governing the wave. The applications of the various aspects of this research are far reaching: from supernovas to (potentially) string theory while the abstract nature of infinitesimal calculus is mind opening.
note
From - Undergraduate Research Day 2009 - Celebration of Research - Abstracts
Subject
shock wave theory

Subject
Magnetohydrodynamic Shock Waves

Subject
infinitesimal calculus

Related Item:series Title Information
Undergrauate Research Day 2009

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http://digital.uwyo.edu/copyright.htm
Record Information languageOfCataloging :Text(ISO639-2B)
English
:Code(ISO639-2B)
eng