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arXiv · 1903.04935

A note on two species collisional plasma in bounded domains

Yunbai Cao
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Abstract

We construct a unique global-in-time solution to the two species Vlasov-Poisson-Boltzmann system in convex domains with the diffuse boundary condition, which can be viewed as one of the ideal scattering boundary model. The construction follows a new $L^{2}$-$L^{\infty}$ framework in [4]. In our knowledge this result is the first construction of strong solutions for $\textit{two species}$ plasma models with $\textit{self-consistent field}$ in general bounded domains.

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Yunbai Cao. 2019-03-11. A note on two species collisional plasma in bounded domains. https://arxiv.org/abs/1903.04935

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