A note on two species collisional plasma in bounded domains

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 $L^2$-$L^{\mathrm{\infty }}$ framework in [4]. In our knowledge this result is the first construction of strong solutions for $\mathit{\text{two}}\mathit{\text{species}}$ plasma models with $\mathit{\text{self-consistent}}\mathit{\text{field}}$ in general bounded domains.