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University of Illinois at Urbana-Champaign
An Application of the Lie Group Theory of Continuous Point Transformations to the Vlasov-Maxwell Equations (Plasma Physics)
Abstract
dc:descriptionThe concept of invariance of partial differential equations under Lie groups of continuous point transformations is employed to study the Vlasov-Maxwell equations of plasma physics. These equations are first expressed in arbitrary orthogonal, curvilinear coordinates. Their invariance properties are studied in Cartesian, cylindrical and spherical geometries. One-to-one mappings between the admitted groups of point transformations in the different geometries are demonstrated.
Degree
thesis:*- Name thesis:degree_name
- Ph.D.
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Nuclear Engineering
- Grantor
- University of Illinois at Urbana-Champaign
- Year dc:date
- 2014
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Haill, Thomas Arthur
Subjects
dc:subject × 1Identifiers
dc:identifier.*- Identifier
- (UMI)AAI8511613
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/70901