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Systems of Vlasov-Poisson type are kinetic models describing dilute plasma.The structure of the model differs according to whether it describes theelectrons or positively charged ions in the plasma. In contrast to the electroncase, where the well-posedness theory for Vlasov-Poisson systems is wellestablished, the well-posedness theory for ion models has been investigatedmore recently. In this article, we prove global well-posedness for twoVlasov-Poisson systems for ions, posed on the whole three-dimensional Euclideanspace $\mathbb{R}^3$, under minimal assumptions on the initial data and theconfining potential.

Global strong solutions in $\mathbb{R}^3$ for ionic Vlasov-Poisson systems