Abstract
The Vlasov-Poisson system is a nonlinear integro-differential system of equations which describes the motion of charged particles in the presence of the electrostatic force field which the particles themselves generate. The system can be written for any number of interacting positively and negatively charged species. For simplicity the system that is given here is for a single charged species, say electrons. Also, the system is commonly written for a one-, two-, or three-dimensional Euclidean space. In this paper the space is three dimensional. The Vlasov-Poisson system that we study is the following:
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