Collaborative Research: RNMS: Kinetic Description of Emerging Challenges in Multiscale Problems of Natural Sciences

合作研究：RNMS：自然科学多尺度问题中新挑战的动力学描述

• 批准号: 1107291
• 负责人: Qin Li
• 金额: $ 100万
• 依托单位: University of Wisconsin-Madison
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2012
• 资助国家: 美国
• 起止时间: 2012-03-01 至 2020-02-29
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1107291&HistoricalAwards=false
• 关键词: Collaborative; Research; RNMS; Kinetic; Description

This award supports a Research Network in Mathematical Sciences: ?Kinetic description of emerging challenges in multiscale problems of natural sciences? (KI-net). Kinetic descriptions have traditionally played a central role in many areas of mathematical physics. In the last two decades, however, kinetic descriptions have emerged as an indispensable tool for a quantitative description of diverse phenomena, ranging from semi-conductors, polymers and plasma, to cell migrations, swarming, and neuron networks, as well as traffic, social and economic networking. It is in this context that the KI-net will foster cross-fertilization between mathematics and other scientific disciplines, with particular focus on the following three areas:* Quantum dynamics with applications to chemistry;* Network dynamics with applications to social sciences; and* Kinetic models of biological processes.The principal objectives are to foster new kinetic-based national and international collaborations; to train a future generation of researchers to address new challenges, and to sustain the United-States? leading role on the international stage in this field. The proposed KI-net will bring the full range of mathematical techniques to bear on important scientific challenges in kinetic descriptions of new phenomena in physical, biological and social sciences. The ultimate goal is the development, analysis and computation of novel kinetic descriptions with various applications in these disciplines. KI-net will offer a unique platform to carry out these objectives. It will be centered around three hubs: the Center for Scientific Computation & Math Modeling (CSCAMM) in the University of Maryland, the Institute for Computational and Engineering Science (ICES) at UT Austin, and the Department of Mathematics at the University of Wisconsin-Madison. At the initial stage, they will inter-connect 12 nodes through a series of edges, involving 25 core participants. KI-net Research Network home page: http://www2.cscamm.umd.edu/ki-net/.

该奖项支持数学科学研究网络：“自然科学多尺度问题中新出现的挑战的动力学描述” （KI-网）。动力学描述传统上在数学物理的许多领域中发挥着核心作用。然而，在过去的二十年里，动力学描述已成为定量描述各种现象不可或缺的工具，从半导体、聚合物和等离子体，到细胞迁移、集群和神经元网络，以及交通、社会和经济网络。正是在这种背景下，KI-net 将促进数学与其他科学学科之间的交叉融合，特别关注以下三个领域：* 量子动力学及其在化学中的应用；* 网络动力学及其在社会科学中的应用；主要目标是促进新的基于动力学的国家和国际合作；培养下一代研究人员应对新挑战并维持美国的生存？在该领域的国际舞台上处于领先地位。拟议的 KI-net 将利用全方位的数学技术来应对物理、生物和社会科学新现象的动力学描述中的重要科学挑战。最终目标是开发、分析和计算新颖的动力学描述以及在这些学科中的各种应用。 KI-net 将提供一个独特的平台来实现这些目标。它将围绕三个中心：马里兰大学科学计算和数学建模中心（CSCAMM）、德克萨斯大学奥斯汀分校计算与工程科学研究所（ICES）以及威斯康星大学麦迪逊分校数学系。在初始阶段，他们将通过一系列边互连12个节点，涉及25个核心参与者。 KI-net 研究网络主页：http://www2.cscamm.umd.edu/ki-net/。