International Network for Nonlinear Studies (INNS)

该奖项为美苏合作科学计划下关于光学和等离子体湍流的扩展研讨会和会议提供了部分支持。这些活动被设想为美国和苏联科学家在非线性研究一般领域持续互动计划的一步。这些努力将涉及理论和实验科学家，重点是包括新的研究人员。湍流问题是物理与数学交叉领域中最具挑战性的问题之一。它不仅是流体力学的一个基本问题，也是等离子体物理学、天体物理学和非线性光学的一个基本问题。现在人们认识到，许多不同类型的湍流具有相同的特征——特殊的奇异相干结构的成核、形成和耗散。这些与控制偏微分方程解的奇异性有关，并负责湍流中的两个关键过程-小尺度运动的产生和能量的耗散。这些领域将在美苏合作科学计划主持下的一个扩大的讲习班和会议上进行探讨。

This award provides partial support for an extended workshop and a conference on turbulence in optics and plasmas under the US-USSR Cooperative Science Program. These activities are envisioned as the step in a program of sustained interaction between scientists in the US and the USSR in the general area of nonlinear studies. These efforts will involve both theoretical and experimental scientists with an emphasis on inclusion of new researchers. The problem of turbulence is one of the most challenging in the interface between physics and mathematics. It is a fundamental problem not only for hydrodynamics but for plasma physics, astrophysics and nonlinear optics. It is now realized that many different types of turbulence have the same characteristic feature - the nucleation, formation and dissipation of special singular coherent structures. These are related to singularities of the solutions of the governing partial differential equations and are responsible for two key processes in turbulence - the production of small-scale motion and the dissipation of energy. These areas will be explored in an extended workshop and a conference under the auspices of the US-USSR Cooperative Science Program.