Existence of Global Weak Solutions to Quasilinear Theory for Electrostatic Plasmas

The quasilinear theory has been widely used to describe the resonant particle-wave interaction in plasmas. The electrostatic case, i.e. the model originating from Vlasov-Poisson system, is the most fundamental and representative one. In this paper, we prove the existence of global weak solutions for electrostatic plasmas in one dimension.