Center for Nonlinear Analysis: Research and Training in Applied Mathematics

非线性分析中心：应用数学研究和培训

• 批准号: 0635983
• 负责人: Irene Fonseca
• 金额: $ 214.1万
• 依托单位: Carnegie-Mellon University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2007
• 资助国家: 美国
• 起止时间: 2007-04-01 至 2014-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0635983&HistoricalAwards=false
• 关键词: Center; Nonlinear; Analysis; Research; Training

Proposal ID: 0635983PI: Irene FonsecaInstitution: Carnegie-Mellon UniversityTitle: Center for Nonlinear Analysis: Research and Training in Applied MathematicsAbstractThe Center for Nonlinear Analysis (CNA), founded in 1991 in theDepartment of Mathematical Sciences at Carnegie Mellon University, isa center for research and training in applied mathematics supported bythe National Science Foundation. The continued funding of the CNA fromthe RTG program will allow it to recruit strong US graduate students andpostdocs and expose them to the wealth of expertise in nonlinearanalysis, computation, and interdisciplinary activitythat exists across Carnegie Mellon research units. The goals of the CNAinclude:-- To identify cutting-edge mathematical questions in science and engineering, including materials science and biotechnology, tohighlight emerging andnew areas in mathematics deriving from applications, and to develop newapplications of mathematical sciences;-- To maintain and sustain its leadership in the areas of Calculus of Variations and PDEs;-- To promote collaborations between applied mathematicians andallied scientists;-- To continue to develop international partnerships and cooperation agreements, which play a vital part inthe CNA program and in the enhancement of thescientific training and research activities of the Center;-- To maintain its position as a worldwide asset in the educationof young investigators cognizant of research opportunities at the broadinterface between mathematics and physical sciences and engineering;-- To continue the valuable work of the Summer Undergraduate AppliedMathematics Institute (SUAMI), which targets minorities and women withthe goal of recruiting them to pursue graduate study in applied mathematics.Over the past 15 years the CNA has trained more than 52 postdoctoralfellows. The CNA is very proud of its trainees: Several former CNApostdocs are now scientific leaders in their own right at researchinstitutions in the US and abroad, and many others are ripe to assumeleadership roles in the near future. The imprint of the CNA in themathematical and scientific community is large and growing. Thecollaborations of CNA members with experimentalists, theorists,physical scientists, and bioscientists, render this group one of thestrongest research and training groups in applied mathematics in theUS and in the world. Investigators associated with the CNA have been inthe front ranks in integrating the discovery of new mathematics andmathematical ways of understanding with other modes of scientificinvestigation, particularly in materials science.The aim is to develop first-rate mathematical science inways that have a healthy and exciting relation to emerging areas ofimportance in the physical and biological sciences.

提案 ID：0635983PI：艾琳·丰塞卡机构：卡内基梅隆大学标题：非线性分析中心：应用数学研究和培训摘要非线性分析中心 (CNA) 于 1991 年在卡内基梅隆大学数学科学系成立，是一个研究和培训中心由国家科学基金会资助的应用数学培训。 RTG 项目对 CNA 的持续资助将使其能够招募实力雄厚的美国研究生和博士后，并使他们接触到卡内基梅隆大学研究单位在非线性分析、计算和跨学科活动方面的丰富专业知识。 CNA 的目标包括：-- 确定科学和工程领域的前沿数学问题，包括材料科学和生物技术，突出数学应用中衍生的新兴和新领域，并开发数学科学的新应用；-- 维持和维持其在变分微积分和偏微分方程领域的领导地位；-- 促进应用数学家和相关科学家之间的合作；-- 继续发展国际伙伴关系和合作协议，这在 CNA 中发挥着重要作用计划并加强该中心的科学培训和研究活动；-- 保持其在年轻研究人员教育方面作为全球资产的地位，使他们认识到数学和物理科学与工程之间广泛交叉点的研究机会；-- 继续暑期本科应用数学学院 (SUAMI) 的宝贵工作，该学院针对少数族裔和女性，目标是招募他们攻读应用数学研究生课程。在过去 15 年中，CNA 已培训了超过 52 名博士后研究员。 CNA 为其学员感到非常自豪：几位前 CNA 博士后现在凭借自己的能力成为美国和国外研究机构的科学领导者，而其他许多人也已经成熟，可以在不久的将来担任领导角色。 CNA 在数学和科学界的影响力很大，而且还在不断增长。 CNA 成员与实验学家、理论家、物理科学家和生物科学家的合作，使该小组成为美国乃至世界应用数学领域最强大的研究和培训小组之一。与 CNA 相关的研究人员在将新数学的发现和数学理解方式与其他科学研究模式（特别是材料科学）相结合方面一直处于领先地位。其目标是以健康且令人兴奋的关系发展一流的数学科学物理和生物科学的新兴重要领域。