Mathematical Sciences: Patterns, Chaos, and Turbulence in Couette-Taylor Flow--Connections to Other Problems in Nonlinear Dynamics; August 7-10, 1995; Boulder, Colorado

数学科学：库埃特-泰勒流中的模式、混沌和湍流——与非线性动力学中其他问题的联系；

• 批准号: 9520111
• 负责人: Randall Tagg
• 金额: $ 1.2万
• 依托单位: University of Colorado at Denver-Downtown Campus
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1995
• 资助国家: 美国
• 起止时间: 1995-07-01 至 1996-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9520111&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Patterns; Chaos; Turbulence

Tagg 9520111 An interdisciplinary meeting is proposed on the mathematics and physics of fluid flow between rotating cylinders (the Couette-Taylor problem) and other flows involving instabilities that arise in curved geometries due to centrifugal forces. The Couette-Taylor problem is a prototype that has led to several advances in understanding the nonlinear dynamics and evolution of complexity in fluid flows. The subject is unique for the degree to which it brings together mathematicians, experts in computational fluid dynamics, physicists, and engineers to discuss a wide variety of theoretical, numerical, and experimental techniques that may be first proven with this system and later extended to more general problems. The meeting consists of a day of invited talks honoring the 65th year of physicist Russell Donnelly, followed by three days of contributed talks. A one-day pre-conference workshop will also be held with the intention of attracting under-represented groups and researchers from small institutions to a broader range of research topics in fluid instabilities, pattern formation, and the origins of turbulence. %%% An interdisciplinary meeting in proposed on the mathematics and physics of fluid flow between rotating cylinders and related fluid flow problems. This area of work has been a prototype for several advances in the understanding of instability and the onset of turbulence in fluid dynamics. These advances include connections between chaotic dynamics and turbulence, the spontaneous formation of patterns in physical systems, the nonlinear dynamics of waves, and an astonishing variety of ways that turbulence occurs. More than 100 mathematicians, computational experts, physicists, and engineers are expected to attend. Special features of the meeting include a pre-conference workshop that is intended to enable under-represented groups to begin work in this field as well as a day of invited talks honoring the 65th year of the distingui shed physicist Russell Donnelly. ***

Tagg 9520111 建议召开一次跨学科会议，讨论旋转圆柱体之间的流体流动（库埃特-泰勒问题）以及其他涉及由于离心力而在弯曲几何形状中出现的不稳定性的流动的数学和物理问题。 Couette-Taylor 问题是一个原型，它在理解流体流动的非线性动力学和复杂性演化方面取得了一些进展。 该主题的独特之处在于它汇集了数学家、计算流体动力学专家、物理学家和工程师，讨论各种理论、数值和实验技术，这些技术可能首先通过该系统得到验证，然后扩展到更多领域一般问题。会议包括一天的受邀演讲，纪念物理学家拉塞尔·唐纳利 (Russell Donnelly) 65 周年诞辰，随后是三天的贡献演讲。还将举行为期一天的会前研讨会，旨在吸引代表性不足的团体和小型机构的研究人员参与流体不稳定性、模式形成和湍流起源等更广泛的研究主题。 %%% 提出了关于旋转圆柱体之间流体流动的数学和物理以及相关流体流动问题的跨学科会议。这一领域的工作已经成为理解流体动力学中的不稳定性和湍流发生方面的多项进展的原型。 这些进展包括混沌动力学和湍流之间的联系、物理系统中模式的自发形成、波的非线性动力学以及湍流发生的各种惊人方式。预计将有 100 多名数学家、计算专家、物理学家和工程师参加。会议的特色包括会前研讨会，旨在帮助代表性不足的团体开始该领域的工作，以及一天的特邀演讲，纪念杰出物理学家拉塞尔·唐纳利 (Russell Donnelly) 诞辰 65 周年。 ***