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的研究网络：对自然科学多阶段问题的新兴挑战的动力学描述？ （ki-net）。传统上，动力学描述在数学物理学的许多领域都发挥了核心作用。然而，在过去的二十年中，动力学描述已成为一种必不可少的工具，用于定量描述各种现象，从半导体，聚合物和等离子体到细胞迁移，蜂群和神经元网络，以及交通，社交和经济网络。正是在这种情况下，Ki-net将在数学和其他科学学科之间促进交叉施用，尤其关注以下三个领域：*量子动态，具有化学应用的量子动态；*与社会科学应用有关的网络动态；和*生物过程的动力学模型。主要目标是促进新的基于动力学的国家和国际合作；培训未来一代研究人员以应对新的挑战并维持联合国家？在这一领域的国际舞台上的领导作用。拟议的Ki-NET将带来各种数学技术，以应对物理，生物学和社会科学新现象的动力学描述的重要科学挑战。最终目标是在这些学科中使用各种应用的新动力学描述的开发，分析和计算。 Ki-Net将提供一个独特的平台来实现这些目标。它将以三个枢纽为中心：马里兰大学的科学计算与数学建模中心（CSCAMM），UT Austin的计算与工程科学研究所（ICES）以及威斯康星大学麦迪逊分校的数学系。在初始阶段，他们将通过一系列边缘进行连接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/。