Center for Nonlinear Analysis: Research and Training in Applied Mathematics

提案ID：0635983PI：Iene Fonseca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)成立于1991年，位于卡内基梅隆大学数学系，是由国家科学基金会资助的应用数学研究和培训中心。来自RTG项目的持续资助将使CNA能够招收优秀的美国研究生和博士后，并让他们接触到存在于卡内基梅隆大学研究单位的丰富的非线性分析、计算和跨学科活动方面的专业知识。该中心的目标包括：--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，突出数学应用领域的新兴和新领域，并开发数学科学的新应用；--保持和保持其在变分和PDE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，它们在CNA计划和加强该中心的科学培训和研究活动中发挥着重要作用；--在认识到数学、物理科学和工程学之间广泛的研究机会的年轻研究人员的教育方面，保持其作为全球资产的地位；--继续暑期本科生应用数学研究所(SUAMI)的宝贵工作，该学院面向少数族裔和妇女，目标是招募她们攻读应用数学研究生课程。在过去的15年里，CNA培训了52名博士后研究员。中央通讯社为其受训人员感到非常自豪：几名前CNApostdocs现在凭借自己的能力在美国和海外的研究机构担任科学领袖，其他许多人在不久的将来担任领导职务的时机已经成熟。CNA在数学界和科学界的影响是巨大的，而且还在不断扩大。CNA成员与实验学家、理论家、物理学家和生物科学家的合作，使该小组成为美国和世界上最强大的应用数学研究和培训小组之一。与中央通讯社有关的研究人员在将新的数学发现和数学理解方式与其他科学调查模式相结合方面一直走在前列，特别是在材料科学方面。其目的是发展一流的数学科学，使其与物理和生物科学中的新兴重要领域具有健康和令人兴奋的关系。

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.