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• W2773340776 abstract "In this work, we deal with the Vlasov–Poisson system in smooth physical domains with specular boundary condition, under mild integrability assumptions, and $${d ge 3}$$ . We show that the Lagrangian and Eulerian descriptions of the system are also equivalent in this context by extending the recent developments by Ambrosio, Colombo, and Figalli to our setting. In particular, assuming that the total energy is bounded, we prove the existence of renormalized solutions and we also show that they are transported by a weak notion of flow that allows velocity jumps at the boundary. Finally, we show that flows can be globally defined for d = 3, 4." @default.
• W2773340776 created "2017-12-22" @default.
• W2773340776 creator A5007518239 @default.
• W2773340776 date "2018-08-27" @default.
• W2773340776 modified "2023-09-25" @default.
• W2773340776 title "The Lagrangian Structure of the Vlasov–Poisson System in Domains with Specular Reflection" @default.
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• W2773340776 doi "https://doi.org/10.1007/s00220-018-3242-5" @default.
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