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- W3146366924 abstract "The Vlasov–Poisson–Boltzmann equation is a classical equation governing the dynamics of charged particles with the electric force being self-imposed. We consider the system in a convex domain with the Cercignani–Lampis boundary condition. We construct a uniqueness local-in-time solution based on an $$L^infty $$-estimate and $$W^{1,p}$$-estimate. In particular, we develop a new iteration scheme along the characteristic with the Cercignani–Lampis boundary for the $$L^infty $$-estimate, and an intrinsic decomposition of boundary integral for $$W^{1,p}$$-estimate." @default.
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- W3146366924 date "2020-04-01" @default.
- W3146366924 modified "2023-10-11" @default.
- W3146366924 title "Local Well-Posedness of Vlasov–Poisson–Boltzmann Equation with Generalized Diffuse Boundary Condition" @default.
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- W3146366924 doi "https://doi.org/10.1007/s10955-020-02545-9" @default.
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