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Coherent Structures and Pattern Formation in Vlasov-Maxwell-Poisson Systems | Antonina N. Fedorova
; Michael G. Zeitlin
; | Date: |
2 Jun 2001 | Subject: | Accelerator Physics; Computational Physics; Mathematical Physics; Pattern Formation and Solitons | physics.acc-ph math-ph math.MP nlin.PS physics.comp-ph quant-ph | Abstract: | We present the applications of methods from nonlinear local harmonic analysis for calculations in nonlinear collective dynamics described by different forms of Vlasov-Maxwell-Poisson equations. Our approach is based on methods provided the possibility to work with well-localized in phase space bases, which gives the most sparse representation for the general type of operators and good convergence properties. The consideration is based on a number of anzatzes, which reduce initial problems to a number of dynamical systems and on variational-wavelet approach to polynomial approximations for nonlinear dynamics. This approach allows us to construct the solutions via nonlinear high-localized eigenmodes expansions in the base of compactly supported wavelet bases and control contribution from each scale of underlying multiscales. Numerical modelling demonstrates formation of coherent structures and stable patterns. | Source: | arXiv, physics/0106007 | Services: | Forum | Review | PDF | Favorites |
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