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Showing 1 to 3 of 3 for “"Lie Group theory"”.
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An Application of the Lie Group Theory of Continuous Point Transformations to the Vlasov-Maxwell Equations (Plasma Physics)
… 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 …
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Construction of a Multi-Dimensional Lagrangian Hydrodynamics Model of a Plasma Using the Lie Group Theory of Point Transformations
The translation conservation laws were used in a two-dimensional computer simulation of the confined eddy problem to demonstrate an application of the equations. Comparison of the results produced by the code using the conservation law governing equations with previous work is limited to …
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Relative Pose Uncertainty Quantification Using Lie Group Variational Filtering
… of a variational filtering scheme founded in Lie Group theory to an autonomous rendezvous, proximity operations and docking problem. Two methodologies, a Monte Carlo approach and an Unscented Transform, for propagating uncertainty using a Lie Group Variational Filter are introduced and …