A note on two species collisional plasma in bounded domains

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 $\text{two species}$ plasma models with $\text{self-consistent field}$ in general bounded domains.

54 pages, minor revision. arXiv admin note: text overlap with arXiv:1710.03851