Multiscale Representations for Solutions of Vlasov-maxwell Equations for Intense Beam Propagation
نویسندگان
چکیده
We present the applications of variational–wavelet approach for computing multiresolution/multiscale representation for solution of some approximations of VlasovMaxwell equations.
منابع مشابه
Multiresolution Representations for Solutions of Vlasov-maxwell-poisson Equations
We present the applications of variational–wavelet approach for computing multiresolution/multiscale representation for solution of some approximations of VlasovMaxwell-Poisson equations.
متن کاملFinite speed propagation of the solutions for the relativistic Vlasov-Maxwell system
In this report we investigate the continuous dependence with respect to the initial data of the solutions for the 1D and 1.5D relativistic Vlasov-Maxwell system. More precisely we prove that these solutions propagate with finite speed. We formulate our results in the framework of mild solutions, i.e., the particle densities are solutions by characteristics and the electro-magnetic fields are Li...
متن کاملSolitary Waves in an Intense Beam Propagating through a Smooth Focusing Field
Based on the Vlasov-Maxwell equations describing the self-consistent nonlinear beam dynamics and collective processes, the evolution of an intense sheet beam propagating through a periodic focusing field has been studied. In an earlier paper [1] it has been shown that in the case of a beam with uniform phase space density the Vlasov-Maxwell equations can be replaced exactly by the macroscopic w...
متن کاملOn Propagation of Higher Space Regularity for Non-linear Vlasov Equations
This work is concerned with the broad question of propagation of regularity for smooth solutions to non-linear Vlasov equations. For a class of equations (that includes Vlasov-Poisson and relativistic Vlasov-Maxwell), we prove that higher regularity in space is propagated, locally in time, into higher regularity for the moments in velocity of the solution. This in turn can be translated into so...
متن کاملSoliton Gas in Space-charge Dominated Beams
Based on the Vlasov-Maxwell equations describing the self-consistent nonlinear beam dynamics and collective processes, the evolution of an intense sheet beam propagating through a periodic focusing field has been studied. It has been shown that in the case of a beam with uniform phase space density the Vlasov-Maxwell equations can be replaced exactly by the hydrodynamic equations with a triple ...
متن کامل