Publication: From the Hartree dynamics to the Vlasov equation
From the Hartree dynamics to the Vlasov equation
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Benedikter, N., Porta, M., Saffirio, C., & Schlein, B. (2016). From the Hartree dynamics to the Vlasov equation. Archiv for Rational Mechanics and Analysis, 221(1), 273–334. https://doi.org/10.1007/s00205-015-0961-z
Abstract
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We consider the evolution of quasi-free states describing $\mathit{N}$ fermions in the mean field limit, as governed by the nonlinear Hartree equation. In the limit of large $\mathit{N}$, we study the convergence towards the classical Vlasov equation. For a class of regular interaction potentials, we establish precise bounds on the 0rate of convergence.
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- Benedikter, Niels
- Porta, Marcello
- Saffirio, Chiara
- Schlein, Benjamin
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Citations
Benedikter, N., Porta, M., Saffirio, C., & Schlein, B. (2016). From the Hartree dynamics to the Vlasov equation. Archiv for Rational Mechanics and Analysis, 221(1), 273–334. https://doi.org/10.1007/s00205-015-0961-z
