论文标题

从哈特里到弗拉索夫动力学:有条件的强收敛

From the Hartree to the Vlasov dynamics: conditional strong convergence

论文作者

Saffirio, Chiara

论文摘要

我们回顾了最新的结果[45,46],这些结果涉及从哈特里动力学到弗拉索夫方程的半经典极限,并将其扩展到更一般的径向相互作用的情况下。我们证明,在正温度下,对于特定的初始状态,Hartree动力学以痕量标准收敛到Vlasov One。

We review the recent results [45, 46] concerning the semiclassical limit from the Hartree dynamics to the Vlasov equation with singular potentials and extend them to the case of more general radial interactions. We prove that, at positive temperature, the Hartree dynamics converges in trace norm to the Vlasov one, for a particular class of initial states.

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