FROM NEWTON'S SECOND LAW TO EULER'S EQUATIONS OF PERFECT FLUIDS
FROM NEWTON'S SECOND LAW TO EULER'S EQUATIONS OF PERFECT FLUIDS
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DOI：
10.1090/proc/15349
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发表时间：
2021-07-01
影响因子：
1
通讯作者：
Iacobelli, Mikaela
中科院分区：
文献类型：
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作者：
Han-Kwan, Daniel;Iacobelli, Mikaela
弗拉索夫方程可以从平均场极限下的N体动力学中正式推导出来。在某些适当的奇异极限下，它们本身可以收敛到流体动力学方程。受此启发，我们引入自然缩放下，不可压缩的欧拉方程可以严格推导出N体动力学与排斥库仑相互作用。我们的分析基于Brenier和[Comm. Partial Differential Equations 25（2000），pp. 737-754] Serfaty [杜克数学杂志169（2020），pp. 2887-2935]。
Vlasov equations can be formally derived from N-body dynamics in the mean-field limit. In some suitable singular limits, they may themselves converge to fluid dynamics equations. Motivated by this heuristic, we introduce natural scalings under which the incompressible Euler equations can be rigorously derived from N-body dynamics with repulsive Coulomb interaction. Our analysis is based on the modulated energy methods of Brenier and [Comm. Partial Differential Equations 25 (2000), pp. 737-754] Serfaty [Duke Math. J. 169 (2020), pp. 2887-2935].