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Multiscale Decomposition for Vlasov-Poisson Equations

2002/06/16 by Antonina N. Fedorova, Fedorova, Antonina N., Michael G. Zeitlin +1
Computer Science · Engineering · Physics and Astronomy · #Accelerator Physics (physics.acc-ph) #Advanced Mathematical Modeling in Engineering #Computational Physics (physics.comp-ph) #Elasticity and Material Modeling #FOS: Physical sciences #Hydrocarbon exploration and reservoir analysis #Plasma Physics (physics.plasm-ph) #physics.acc-ph #physics.comp-ph #physics.plasm-ph

paper · pdf · doi:10.48550/arxiv.physics/0206051

4 pages, 3 figures, JAC2001.cls, presented at European Particle Accelerator Conference (EPAC02), Paris, June 3-7, 2002; changed from A4 to US format for correct printing

openalex publication_date 2002/06/16 · arxiv created 2002/06/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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