图 书 馆
“Single”-粒子控制：从控制到湍流再到返回Fluid Mechanics = "Single"-Particle Control: From Control to Turbulence and Back |
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| 课程网址: | http://videolectures.net/cyberstat2012_chertkov_fluid_mechanics/ |
| 主讲教师: | Michael Chertkov |
| 开课单位: | 洛斯阿拉莫斯国家实验室 |
| 开课时间: | 2012-10-16 |
| 课程语种: | 英语 |
| 中文简介: |  我们表明，根据不同条件下单个粒子的广义尺度不变随机控制公式，可以理解流体力学中研究的不同流动。我们用这种控制理论的语言来描述可压缩和不可压缩的流体力学，以及控制场的控制方程如何变成不同口味的Navier Stocks方程。在随机控制的特定情况下，没有任何强大的（动态强制的）约束，并且空间成本和动态成本在1 1维时间空间中没有变化/波动，我们会得出Burgulence（伯格斯湍流），它会根据设置的细节而衰减或强迫。发展和冲击相互作用的不同阶段是根据控制来解释的。这是与V.Chernyak合作进行中的一项工作，并且紧随V.Chernyak，J.Bierkens和H.J.Kappen进行的有关``随机控制作为非平衡统计物理''的相关工作之后。 |
| 课程简介: | We show that different flows studied in fluid mechanics can be understood as following from generalized gauge-invariant stochastic control formulations of a single particle under different conditions. We describe in this language of control theory compressible and incompressible fluid mechanics, and how governing equations for the control field becomes Navier-Stocks equations of different flavors. In a particular case of stochastic control without any strong (dynamically enforced) constraints and costs of space and dynamics varying/fluctuating in 1+1 dimensional time-space, we arrive at the Burgulence (Burgers turbulence), decaying or forced depending on details of the setting. Different stages of development and interaction of shocks are interpreted in terms of control. This is a work in progress in collaboration with V. Chernyak and following from related work on ``Stochastic Control as a Non-Equilibrium Statistical Physics" with V. Chernyak, J. Bierkens and H.J. Kappen. |
| 关 键 词: | 流体力学; 随机控制; 反馈 |
| 课程来源: | 视频讲座网 |
| 数据采集: | 2020-10-21：zyk |
| 最后编审: | 2021-06-25：zyk |
| 阅读次数: | 52 |