Abstract
We study existence and uniqueness of the solution to the Vlasov–Poisson system describing a plasma constituted by different species evolving in \({\mathbb {R}}^3\), whose particles interact via the Coulomb potential. The species can have both positive or negative charge. It is assumed that initially the particles are distributed according to a spatial density with a power-law decay in space, allowing for unbounded mass, and an exponential decay in velocities given by a Maxwell–Boltzmann law, extending a result contained in Caprino et al. (J Stat Phys 169:1066–1097,2017), which was restricted to finite total mass.
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This work was performed under the auspices of GNFM-INDAM and the Italian Ministry of the University (MIUR).
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Caprino, S., Cavallaro, G. & Marchioro, C. Time evolution of a Vlasov–Poisson plasma with different species and infinite mass in \({\mathbb {R}}^3\). Z. Angew. Math. Phys. 71, 1 (2020). https://doi.org/10.1007/s00033-019-1224-x
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DOI: https://doi.org/10.1007/s00033-019-1224-x