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arXiv · 1911.05524

Time evolution of a Vlasov-Poisson plasma with different species and infinite mass in $\mathbb{R}^3$

Silvia Caprino·Guido Cavallaro·Carlo Marchioro
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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 obtained by the same authors, which was restricted to finite total mass.

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Silvia Caprino, Guido Cavallaro, Carlo Marchioro. 2019-11-13. Time evolution of a Vlasov-Poisson plasma with different species and infinite mass in $\mathbb{R}^3$. https://doi.org/10.1007/s00033-019-1224-x

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