Mathematical Sciences: NSF/CBMS Regional Conference in the Mathematical Sciences "Turbulence of Nonlinear Waves With Applications to geophysics and oceanography, May 25-29,1992"

寻找令人满意的湍流模型仍然是数学和物理学的主要问题之一。由于它在航空学、地球物理流体动力学、大气科学、磁流体力学和天体物理学等多个领域具有重要意义，在过去的几十年里，人们对其进行了巨大的研究。从偏微分方程组，随机过程，统计力学，动力系统，重整化理论，统计学和泛函分析的广泛的数学工具已经被用来努力阐明它的性质。该项目将支持1992年5月25日至29日在凯斯西储大学举行的NSF-CBMS关于非线性波动的湍流及其在地球物理和海洋学中的应用的数学科学区域研究会议。莫斯科朗道理论物理研究所和亚利桑那大学的弗拉基米尔·扎哈罗夫教授将担任首席讲师。为了激发人们对数学研究的兴趣和活力，美国国家科学基金会每年都会支持一些NSF-CBMS数学科学区域研究会议。每个为期五天的会议都有一位杰出的讲师，他就一个重要的当前研究主题发表十次演讲，该主题是数学科学中一个尖锐的重点领域。讲师随后根据这些讲座编写一份说明性专著，通常由美国数学学会或工业和应用数学学会出版，或由美国统计协会和数学统计研究所联合出版。这些会议的某些特点使其有别于典型的研究会议。它们是：(1)由领先的实践者专注于一个重要和及时的研究领域，(2)通过区域重点来持续影响和局部刺激，(3)小组审查质量、广度和及时性，以及(4)出版面向更广泛受众的专著。

The search for satisfactory models of turbulence is still one of the major problems of mathematics and physics. Because of its importance in diverse areas such as aeronautics, geophysical fluid dynamics, atmospheric sciences, magnetohydrodynamics, and astrophysics, tremendous effort has been devoted to its study over the last few decades. A broad spectrum of mathematical tools from partial differential equations, stochastic processes, statistical mechanics, dynamical systems, renormalization theory, statistics, and functional analysis has been employed in an effort to elucidate its nature. This project will support an NSF-CBMS Regional Research Conference in the Mathematical Sciences on Turbulence of Nonlinear Waves with Applications to Geophysics and Oceanography to be held May 25-29, 1992 at Case Western Reserve University. Professor Vladimir Zakharov of the Landau Institute of Theoretical Physics (Moscow) and the University of Arizona will be the principal lecturer. To stimulate interest and activity in mathematical research, the National Science Foundation each year supports a number of NSF-CBMS Regional Research Conferences in the Mathematical Sciences. Each five-day conference features a distinguished lecturer who delivers ten lectures on a topic of important current research in one sharply focused area of the mathematical sciences. The lecturer subsequently prepares an expository monograph based upon these lectures, which is normally published by the American Mathematical Society or the Society for Industrial and Applied Mathematics, or jointly by the American Statistical Association and the Institute of Mathematical Statistics. Certain features differentiate these conferences from typical research conferences. These are: (1) Focus on a single important and timely area of research by a leading practitioner, (2) Continued effect and local stimulation through regional emphasis, (3) Panel review for quality, breadth, and timeliness, and (4) Published monographs for a wider audience.