Center for Nonlinear Analysis: Research and Training in Applied Mathematics

提案ID：0635983 PI：Irene Fonseca机构：美国梅隆大学非线性分析中心：非线性分析中心（CNA）成立于1991年，隶属于卡内基梅隆大学数学科学系，伊萨美国国家科学基金会资助的应用数学研究和培训中心。来自RTG计划的CNA的持续资助将使其能够招募强大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存在的非线性分析，计算和跨学科活动的丰富专业知识。 CNA的目标包括：--识别科学中的前沿数学问题， 工程，包括材料科学和生物技术，以突出新兴和新领域的数学衍生的应用，并开发数学科学的新应用;-保持和维持其领导地位，在微积分领域的 变量和偏微分方程;--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 与合作协议，这在CNA计划中发挥了至关重要的作用，并在加强科学培训和中心的研究活动;--保持其作为一个世界性的资产，在教育的年轻研究人员认识到在数学和物理科学和工程之间的广泛接口的研究机会;--继续开展暑期大学生数学研究所（SUAMI）的宝贵工作，针对少数民族和妇女，目标是招募他们攻读应用数学的研究生课程。在过去的15年里，培养了超过52名博士后研究员。CNA为它的学员感到非常自豪：几位前CNApostdocs现在是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也会成为领导者。CNA在数学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，物理科学家和生物科学家的合作，使这个小组成为美国和世界上应用数学最强大的研究和培训小组之一。与CNA有关的研究人员在将新的数学和数学理解方法的发现与其他科学研究模式相结合方面一直处于前列，特别是在材料科学方面。其目的是发展一流的数学科学，并与物理和生物科学中的新兴重要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.