30 papers
Localization and Pattern Formation in BBGKY Hierarchy
Antonina N. Fedorova, Michael G. Zeitlin
A fast and efficient numerical-analytical approach is proposed for modeling complex behaviour in the BBGKY hierarchy of kinetic equations. Numerical modeling shows the creation of…
Nonlinear Motion in Electromagnetic Fields via Multiscale Expansions
Antonina N. Fedorova, Michael G. Zeitlin
The consideration of dynamics of relativistic beams/particles is based on variational approach to rational (in dynamical variables) approximation for equations of motions. It allow…
RMS/Rate Dynamics via Localized Modes
Antonina N. Fedorova, Michael G. Zeitlin
We consider some reduction from nonlinear Vlasov-Maxwell equation to rms/rate equations for second moments related quantities. Our analysis is based on variational wavelet approach…
Multiscale Decomposition for Vlasov-Poisson Equations
Antonina N. Fedorova, Michael G. Zeitlin
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 fo…
Fast Calculation Methods in Collective Dynamical Models of Beam/Plasma Physics
Antonina N. Fedorova, Michael G. Zeitlin
We consider an application of modification of our variational-wavelet approach to some nonlinear collective model of beam/plasma physics: Vlasov/Boltzmann-like reduction from gener…
From Localization to Stochastics in BBGKY Collective Dynamics
Antonina N. Fedorova, Michael G. Zeitlin
Fast and efficient numerical-analytical approach is proposed for modeling complex collective behaviour in accelerator/plasma physics models based on BBGKY hierarchy of kinetic equa…