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• W2980394875 abstract "We consider the nonlinear Hartree and Vlasov equations around a translation-invariant (homogeneous) stationary state in infinite volume, for a short range interaction potential. For both models, we consider time-dependent solutions which have a finite relative energy with respect to the reference translation-invariant state. We prove the convergence of the Hartree solutions to the Vlasov ones in a semi-classical limit and obtain as a by-product global well-posedness of the Vlasov equation in the (relative) energy space." @default.
• W2980394875 created "2019-10-25" @default.
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• W2980394875 date "2019-10-21" @default.
• W2980394875 modified "2023-09-30" @default.
• W2980394875 title "The Hartree and Vlasov equations at positive density." @default.
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• W2980394875 hasPublicationYear "2019" @default.
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