Multiscale Decomposition for Vlasov-Poisson Equations

Details Multiscale Decomposition for Vlasov-Poisson Equations Multiscale Decomposition for Vlasov-Poisson Equations

2002-06-16

arxiv.org/abs/physics/0206051v2

Physics

Accelerator Physics

4 pages, 3 figures, JAC2001.cls, presented at European Particle Accelerator Conference (EPAC02), Paris, June 3-7, 2002; change

Scientific paper

We consider the applications of a numerical-analytical approach based on multiscale variational wavelet technique to the systems with collective type behaviour described by some forms of Vlasov-Poisson/Maxwell equations. We calculate the exact fast convergent representations for solutions in high-localized wavelet-like bases functions, which correspond to underlying hidden (coherent) nonlinear eigenmodes. This helps to control stability/unstability scenario of evolution in parameter space on pure algebraical level.

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