On a charge interacting with a plasma of unbounded mass
A system of one positive charge plus a positively charged plasma is considered in \(\mathbb{R}^2\), an infinite region. The term ``infinite'' refers to the main difference this approach is made for: the density is not supposed here to be bounded in contrast with the most existing literature. It is supposed that a background of continuous distribution of neutral particles in thermal equilibrium at high temperature is present (this is referred to as Vlasov-Helmholtz system). To avoid the problem of infinite energy, the finite energy of a region is introduces and it is proven that this function remains finite also at later times. The solution is determined and its existence is demonstrated, the desived properties are discussed.
scientific article; zbMATH DE number 5869603