NSF/CBMS Regional Conference in the Mathematical Sciences--"Stochastic Partial Differential Equations and Their Applications"

NSF/CBMS 数学科学区域会议--“随机偏微分方程及其应用”

• 批准号: 0225738
• 负责人: Jinqiao Duan
• 金额: $ 3.15万
• 依托单位: Illinois Institute of Technology
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2003
• 资助国家: 美国
• 起止时间: 2003-01-01 至 2003-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0225738&HistoricalAwards=false
• 关键词: NSF; CBMS; Regional; Conference; Mathematical

There is a growing recognition of a role for the inclusion of stochastic terms in the modeling of complex systems. The addition of such terms has led to interesting new mathematical problems at the interface of probability and partial differential equations. In order to quantify uncertainty and estimate predictability of these systems, we need better understanding of stochastic partial differential equations. Thus, the investigation of stochastic partial differential equations has attracted a lot of attention recently, from both theoretical and applied communities. It is now the very time to have a sharply focused conference in this field. The Principal Lecturer for this conference is Professor Jerzy Zabczyk, Institute of Mathematics, Polish Academy of Sciences, Poland. Jerzy Zabczyk's research on stochastic partial differential equations places him at the forefront of this exciting area. He is the co-author of the research monographs``Stochastic Equations in Infinite Dimensions" (1992) and ``Ergodicity in Infinite Dimensions" (1996). He is uniquely qualified to provide an overview of the major recent developments in the subject and point to research directions in the future.Scientific and engineering systems are often subject to random influence. Stochastic partial differential equations are appropriate models for many randomly influenced systems. This conference is to stimulate new research on stochastic partial differential equations and their applications in engineering, science and finance, by bringing together both established researchers and graduate students and postdoctoral fellows.The lecture notes will be published and will be accessible to a wide audience of professionals interested in the subject.

在复杂系统的建模中，随机项的作用越来越被人们所认识。 增加这些条款导致有趣的新的数学问题的接口概率和偏微分方程。 为了量化这些系统的不确定性和估计可预测性，我们需要更好地理解随机偏微分方程。 因此，随机偏微分方程的研究近年来引起了理论界和应用界的广泛关注。 现在正是在这一领域举行一次重点突出的会议的时候。 本次会议的首席讲师是波兰波兰科学院数学研究所的Jerzy Zabczyk教授。 耶日Zabczyk的研究随机偏微分方程使他在最前沿的这一令人兴奋的领域。 他是研究专著《无限维度中的随机方程》（1992年）和《无限维度中的遍历性》（1996年）的合著者。他是唯一有资格提供该主题的主要最近发展的概述，并指出未来的研究方向。科学和工程系统往往受到随机影响。 随机偏微分方程是许多受随机影响系统的合适模型。本次会议是为了刺激新的研究随机偏微分方程及其应用在工程，科学和金融，通过汇集双方建立的研究人员和研究生和博士后研究员。讲座笔记将出版，并将访问广大观众的专业人士感兴趣的主题。