U.S.-China Workshop on Inertial Manifolds Approximating Inertial Manifolds and Related Numerical Algorithms, Xian, China, June 1995

中美惯性流形近似惯性流形及相关数值算法研讨会，中国西安，1995 年 6 月

• 批准号: 9423693
• 负责人: Jie Shen
• 金额: $ 1.8万
• 依托单位: Pennsylvania State Univ University Park
• 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: 1995-05-01 至 1996-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9423693&HistoricalAwards=false
• 关键词: U.S.; China; Workshop; Inertial; Manifolds

9423693 Shen This award supports a joint U.S.-China workshop, with the Research Center for Applied Mathematics of Xi'an Jiaotong University in China, on Inertial Manifolds, Approximate Inertial Manifolds and Related Numerical Algorithms at Xi'an Jiaotong University during the period of June 6-9, 1995. In recent years, the concept of Inertial Manifold has emerged as an important tool for the study of the long-term behavior of dynamical systems. In parallel to the study of Inertial Manifolds, extensive research has also been conducted on Approximate Inertial Manifolds and related numerical algorithms. These multi-resolution algorithms, taking into account the interaction law between small-scale and large-scale components of the underlying flow, are especially attractive for long-term integrations of dissipative evolution equations. The aim of this workshop is to bring together active researchers with different backgrounds to discuss recent and prospective advances in this area. Funds are granted for travel expenses of ten participants from the United States and for partial support of the publication cost for the workshop proceedings.

该奖项支持与中国西安交通大学应用数学研究中心于1995年6月6日至9日在西安交通大学举办的关于惯性流形、近似惯性流形及相关数值算法的中美联合研讨会。近年来，惯性流形的概念已成为研究动力系统长期行为的重要工具。在研究惯性流形的同时，人们对近似惯性流形及其数值算法也进行了广泛的研究。这些多分辨率算法考虑了底层流的小尺度和大尺度组分之间的相互作用规律，对耗散演化方程的长期积分特别有吸引力。本次研讨会的目的是将不同背景的活跃研究人员聚集在一起，讨论该领域的最新和未来进展。拨款用于支付来自美国的10名与会者的旅费和部分支助讲习班会议记录的出版费用。