Mathematical Aspects of Modelling Oscillations and Wake Waves in Plasma

Free plasma oscillations. Introductory Information. Planar one-dimensional non-relativistic oscillations (P1NE-equations). Planar one-dimensional relativistic oscillations (P1RE-equations). Cylindrical one-dimensional oscillations (equations C1RE and C1NE). Influence of ion dynamics (P1EI-equations). Planar two-dimensional relativistic oscillations (P2RE-equations). Plasma wake waves. Preliminary information. Numerical Algorithms for the Basic Task. Additional Studies. Literature.

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• Física do plasma
• Física Matemática
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• A tecnologia laser e holografia
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Ordinary Differential Equations;NUMA;Finite Difference Method;Cauchy Problem;Perturbation Theory Method;Lagrangian Variables;Axial Solution;Eulerian Variables;Wake Wave;Lagrangian Coordinate;Plasma Oscillations;Electron Density;Artificial Boundary Conditions;Time Layer;Electron Density Function;Laser Pulse;Underdense Plasma;Maximum Electron Density;Riemann Problem;Multiple Excess;Tridiagonal Matrix Algorithm;Smooth Classical Solution;Eulerian Coordinates;Laser Plasma Interactions;Circular Symmetry