CYCLOTRONS-2001, Abstract 2

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.
[2].A.Fedorova,M.Zeitlin,PAC99,1614,1617,1620, 2900,2903,2906,2909,2912.
[3].A.Fedorova,M.Zeitlin,Proc.LINAC00 and Capri00, Los Alamos preprints,physics/0101007,0008200, 0008049.