# American Institute of Mathematical Sciences

December  2019, 12(6): 1359-1429. doi: 10.3934/krm.2019053

## A note on two species collisional plasma in bounded domains

Received  March 2019 Published  September 2019

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 [3]. In our knowledge this result is the first construction of strong solutions for two species plasma models with self-consistent field in general bounded domains.

Citation: Yunbai Cao. A note on two species collisional plasma in bounded domains. Kinetic & Related Models, 2019, 12 (6) : 1359-1429. doi: 10.3934/krm.2019053
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