Abstract
This paper is devoted to the initial boundary value problem of the Vlasov–Poisson–Fokker–Planck system in a bounded domain. The global existence of a unique strong solution and its exponential convergence rate to the equilibrium state are proved under the specular reflection boundary condition. The proof is based on an elementary energy method and the SLp theory developed by Guo et al. [Arch. Ration. Mech. Anal. 236(3), 1389–1454 (2020)] for kinetic models.
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