The Kansas-Missouri-Nebraska (KUMUNU) Conference in PDE, Dynamical Systems and Applications

堪萨斯-密苏里-内布拉斯加州 (KUMUNU) 偏微分方程、动力系统和应用会议

• 批准号: 1658793
• 负责人: George Avalos
• 金额: $ 1.94万
• 依托单位: University of Nebraska-Lincoln
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2017
• 资助国家: 美国
• 起止时间: 2017-04-01 至 2017-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1658793&HistoricalAwards=false
• 关键词: Kansas; Missouri; Nebraska; KUMUNU; Conference

This award will provide support for participants, especially graduate students, junior researchers, women and mathematicians from under-represented groups in the sciences, to attend the third regional conference "KUMUNU Conference in Partial Differential Equations, Dynamical Systems and Applications" (KUMUNU Lincoln 2017) to be held from April 22-23, 2017, at the University of Nebraska-Lincoln. The abbreviation KUMUNU signifies the collaboration of faculty from the Universities of Kansas, Missouri, and Nebraska. The Conference webpage is http://www.math.unl.edu/events/special/kumunu2017. Similarly to the two previous KUMUNU Conferences, the KUMUNU Lincoln 2017 Meeting is being organized with a view toward featuring eminent mathematicians who will deliver lectures on their respective research programs to a diverse audience of mathematicians. KUMUNU Lincoln 2017 will serve as a forum for interaction of established scientist with graduate students and early career faculty, as well as with members of smaller regional academic institutions. One of the objectives of the conference is the initiation of collaborations among Partial Differential Equations (PDE) specialists who, but for their respective participation in KUMUNU Lincoln 2017, might not otherwise have occasion to collectively meet in a scientific setting. It is anticipated that these nascent collaborations will involve recent PhDs and facilitate development of their academic careers. The invited talks will be devoted to the following areas of research: (i) long time behavior of solutions to nonlinear PDE; and (ii) analysis of those PDE systems that describe certain fluid-structure interactions. In particular, the Conference Speakers will address qualitative issues concerning the existence of global attracting sets for corresponding "trajectories" (solutions) of given nonlinear evolutionary PDE. Some speakers will address the rigorous and numerical analysis of certain fluid-structure PDE dynamics, and present their latest findings in these research directions. In addition, it is expected that the collaboration between researchers in long time behavior of nonlinear evolutionary PDE and fluid-structure PDE specialists will serve as a departure point from which new inroads will be made towards understanding the asymptotic behavior of solutions to nonlinear fluid-structure PDE dynamics. The projected collaborations arising from KUMUNU Lincoln 2017 could provide new mathematical insights into experimentally and numerically observed fluid-structure phenomena.

该奖项将支持参与者，特别是研究生、初级研究人员、女性和数学家，参加将于2017年4月22日至23日在内布拉斯加大学林肯分校举行的第三届区域会议“KUMUNU偏微分方程、动力系统和应用会议”（KUMUNU Lincoln 2017）。KUMUNU的缩写意味着来自堪萨斯、密苏里和内布拉斯加州大学的教员的合作。会议网页是http://www.math.unl.edu/events/special/kumunu2017。与前两届KUMUNU会议类似，2017年的KUMUNU林肯会议旨在邀请杰出的数学家，他们将在各自的研究项目上向不同的数学家发表演讲。KUMUNU林肯2017将作为一个论坛，为建立的科学家与研究生和早期职业教师的互动，以及与较小的区域学术机构的成员。会议的目标之一是启动偏微分方程（PDE）专家之间的合作，如果不是他们各自参加了KUMUNU Lincoln 2017，他们可能没有机会在科学环境中集体会面。预计这些新生的合作将涉及最近的博士，并促进他们学术生涯的发展。邀请的会谈将致力于以下研究领域：(i)非线性偏微分方程解的长时间行为；以及（ii）对描述某些流固相互作用的PDE系统的分析。特别是，会议发言人将讨论关于给定非线性演化偏微分方程的相应“轨迹”（解）的全局吸引集是否存在的定性问题。一些主讲人将讨论某些流固耦合动力学的严格和数值分析，并介绍他们在这些研究方向上的最新发现。此外，期望非线性演化PDE的长期行为研究人员与流体结构PDE专家之间的合作将成为理解非线性流体结构PDE动力学解的渐近行为的新进展的出发点。KUMUNU Lincoln 2017计划的合作可以为实验和数值观察到的流体结构现象提供新的数学见解。