论文标题
从牛顿的第二定律到欧拉的完美液体方程
From Newton's second law to Euler's equations of perfect fluids
论文作者
论文摘要
VLASOV方程可以正式从平均场限制中的n体动力学得出。在某些合适的奇异极限中，它们本身可能会收敛到流体动力学方程。在这种启发式方面，我们介绍了自然尺度，在这些量表下，不可压缩的欧拉方程可以从n体动力学中严格衍生而来，并具有排斥性的库仑相互作用。我们的分析基于Brenier和Resfaty的调制能量方法。
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 Serfaty.
