Force-free Plasma Equilibria and Differential Operators Connecting Certain Equations
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Authors
Peng, Yuyang
Date
Type
thesis
Language
eng
Keyword
Grad--Shafranov equation , Klein--Gordon equation , Helmholtz equation , Differential Operators , Exact Solutions
Alternative Title
Abstract
Differential operators connecting a linear case of the Grad--Shafranov equation and the axisymmetric Klein--Gordon equation are found. Differential operators linking another linear case of the Grad--Shafranov equation and the axisymmetric Helmholtz equation are also given. Infinite families of exact solutions to the Grad--Shafranov equation of both types and their corresponding force-free plasma equilibria are derived. General constructions of transforms among differential equations are presented.
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This publication is made available by the authority of the copyright owner solely for the purpose of private study and research and may not be copied or reproduced except as permitted by the copyright laws without written authority from the copyright owner.
ProQuest PhD and Master's Theses International Dissemination Agreement
Intellectual Property Guidelines at Queen's University
Copying and Preserving Your Thesis
This publication is made available by the authority of the copyright owner solely for the purpose of private study and research and may not be copied or reproduced except as permitted by the copyright laws without written authority from the copyright owner.