Fedorova A.N., Zeitlin M.G.

MULTISCALE REPRESENTATION FOR VLASOV-MAXWELL DYNAMICS FOR INTENSE BEAM PROPAGATION

We present applications of methods from nonlinear local harmonic analysis
or wavelet analysis to calculations inside nonlinear collective dynamics
described by different forms of Vlasov-Poisson equations. Our
approach is based on methods provided
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. Consideration of Vlasov-Maxwell-Poisson models is
based on
a number of anzatzes, which reduce initial problems to a number of
dynamical systems and on variational-wavelet approach to
polynomial/rational approximations for nonlinear dynamics. This approach
allows us to
construct the solutions via nonlinear high-localized (eigen)mode
expansions
and control contribution from each scale of underlying multiscales.
Especially we consider case of intense beam propagation [1]-[3].
[1]A.Fedorova,M.Zeitlin,EPAC00,415,872,1101,1190,
1339,2325. |