dorsal/arxiv
View SchemaCoherent Structures and Pattern Formation in Vlasov-Maxwell-Poisson Systems
| Authors | Antonina N. Fedorova, Michael G. Zeitlin |
|---|---|
| Categories | |
| ArXiv ID | physics/0106007 |
| URL | https://arxiv.org/abs/physics/0106007 |
| Journal | Conf.Proc.C0106181:1808-1810,2001 |
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.
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"abstract": "We present the applications of methods from nonlinear local harmonic analysis\nfor calculations in nonlinear collective dynamics described by different forms\nof Vlasov-Maxwell-Poisson equations. Our approach is based on methods provided\nthe possibility to work with well-localized in phase space bases, which gives\nthe most sparse representation for the general type of operators and good\nconvergence properties. The consideration is based on a number of anzatzes,\nwhich reduce initial problems to a number of dynamical systems and on\nvariational-wavelet approach to polynomial approximations for nonlinear\ndynamics. This approach allows us to construct the solutions via nonlinear\nhigh-localized eigenmodes expansions in the base of compactly supported wavelet\nbases and control contribution from each scale of underlying multiscales.\nNumerical modelling demonstrates formation of coherent structures and stable\npatterns.",
"arxiv_id": "physics/0106007",
"authors": [
"Antonina N. Fedorova",
"Michael G. Zeitlin"
],
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"physics.acc-ph",
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"math.MP",
"nlin.PS",
"physics.comp-ph",
"quant-ph"
],
"journal_ref": "Conf.Proc.C0106181:1808-1810,2001",
"title": "Coherent Structures and Pattern Formation in Vlasov-Maxwell-Poisson Systems",
"url": "https://arxiv.org/abs/physics/0106007"
},
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