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Multiscale Decomposition for Vlasov-Poisson Equations

Antonina N. Fedorova·Michael G. Zeitlin
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Abstract

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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Antonina N. Fedorova, Michael G. Zeitlin. 2002-06-22. Multiscale Decomposition for Vlasov-Poisson Equations. https://arxiv.org/abs/physics/0206051

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