Center for Nonlinear Analysis: Research and Training in Applied Mathematics

题目：Center for Nonlinear Analysis: Research and Training in Applied mathematics摘要：非线性分析中心（Center for Nonlinear Analysis， CNA）成立于1991年，隶属于卡内基梅隆大学数学科学系，是美国国家科学基金资助的应用数学研究与培训中心。RTG项目对CNA的持续资助将使其能够招募优秀的美国研究生和博士后，并使他们接触到卡内基梅隆大学各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。该中心的目标包括：识别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，突出从应用中衍生出来的新兴数学领域，并开发数学科学的新应用；-保持和维持其在变分法和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，这对中心项目和加强中心的科学培训和研究活动具有重要作用；-保持其在教育年轻研究者方面的全球资产地位，认识到数学，物理科学和工程之间的广泛界面的研究机会；——继续暑期本科生应用数学研究所（SUAMI）的宝贵工作，该研究所以少数民族和女性为目标，招收她们攻读应用数学研究生。在过去的15年里，中央中心培养了超过52名博士后。中央研究中心对其学员感到非常自豪：一些前中央研究中心博士后现在已经成为美国和国外研究机构的科学领导者，还有许多人在不久的将来已经成熟，可以担任领导角色。CNA在数学和科学界的影响是巨大的，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，使该小组成为美国和世界上最强大的应用数学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理解数学方法与其他科学研究模式相结合方面处于领先地位，特别是在材料科学方面。其目的是发展一流的数学科学，与物理和生物科学中重要的新兴领域建立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.