聚类的连续统预测是混沌的吗？
Are Continuum Predictions of Clustering Chaotic?
摘要：
气-固多相流易于发展称为聚集的不稳定性。双流体模型，它把颗粒相作为一个连续体，被称为再现这种不稳定性的定性特征，产生高度动态的，时空的模式。然而，这是未知的，是否这样的模拟是真正的非周期性或一种复杂的周期性行为。通过证明该系统具有对初始条件的敏感依赖性和正的最大李雅普诺夫指数$λ_1 \approx 1/τ$，我们提供了一个初步的答案：连续预测的聚类是混沌的。我们进一步证明，混沌行为是尺寸依赖的，一个结论，统一以前的结果，并强烈表明，混沌行为是不是一个基本的运动不稳定的结果，但二次（固有多维）不稳定。
英文摘要：
Gas-solid multiphase flows are prone to develop an instability known as clustering. Two-fluid models, which treat the particulate phase as a continuum, are known to reproduce the qualitative features of this instability, producing highly-dynamic, spatiotemporal patterns. However, it is unknown whether such simulations are truly aperiodic or a type of complex periodic behavior. By showing that the system possesses a sensitive dependence on initial conditions and a positive largest Lyapunov exponent, $λ_1 \approx 1/τ$, we provide a tentative answer: continuum predictions of clustering are chaotic. We further demonstrate that the chaotic behavior is dimensionally dependent, a conclusion which unifies previous results and strongly suggests that the chaotic behavior is not a result of the fundamental kinematic instability, but of the secondary (inherently multidimensional) instability.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
