BBGKY动力学：从局部化到斑图形成
BBGKY Dynamics: from Localization to Pattern Formation
摘要：
提出了一种快速有效的数值分析方法，用于模拟BBGKY-动力学方程层次中的复杂行为。我们的计算是基于变分和多分辨方法的基础上多项式张量代数的广义相干态/小波。通过对高度局域化本征模的多尺度分解，我们构造了约化分布函数的层次表示。数值模拟显示，从本地化模式，这是本地化或混乱类型的行为和相应的模式（waveletons）的形成相关的各种内部结构的创建。定域斑图是等离子体中能量约束态（聚变）的模型。
英文摘要：
A fast and efficient numerical-analytical approach is proposed for modeling complex behaviour in the BBGKY--hierarchy of kinetic equations. Our calculations are based on variational and multiresolution approaches in the basis of polynomial tensor algebras of generalized coherent states/wavelets. We construct the representation for hierarchy of reduced distribution functions via the multiscale decomposition in highly-localized eigenmodes. Numerical modeling shows the creation of various internal structures from localized modes, which are related to localized or chaotic type of behaviour and the corresponding patterns (waveletons) formation. The localized pattern is a model for energy confinement state (fusion) in plasma.
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