KUMU Conference on PDE, Dynamical Systems, and Applications

KUMU 偏微分方程、动力系统和应用会议

• 批准号: 1549934
• 负责人: Samuel Walsh
• 金额: $ 1.6万
• 依托单位: University of Missouri-Columbia
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2016
• 资助国家: 美国
• 起止时间: 2016-03-01 至 2017-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1549934&HistoricalAwards=false
• 关键词: KUMU; Conference; PDE; Dynamical; Systems

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 second regional conference "KUMU Conference in PDE, Dynamical Systems and Applications" to be held in Columbia, Missouri on of April 23-24, 2016. The meeting is organized jointly by the Departments of Mathematics at the University of Missouri-Columbia and the University of Kansas in Lawrence. The conference will showcase recent advances and facilitate exchange of ideas in partial differential equations (PDEs) and dynamics of complex systems. Many basic first principles in nature take the form of conservation (or balance) laws for quantities that vary in space and time, and these laws lead naturally to partial differential equations. PDEs are therefore encountered in nearly all areas of science; they describe wave motion, diffusion, deformation, mixing, pattern formation, and many other phenomena. Specific application of current interest include climate modeling, water waves, electrodynamics phenomena in complex media, and neuroscience. While participants are clustered in the Midwestern and Southern states near Missouri and Kansas, many researchers working at institutions elsewhere in the US will be included. Early career mathematicians will be given an opportunity to present their work to gain recognition and invaluable feedback. The conference website is http://faculty.missouri.edu/~walshsa/kumu2016/Many of the complex nonlinear problems governed by PDEs can be reframed as dynamical systems posed on infinite-dimensional spaces. This strategy has proved to be effective, and it certainly shows tremendous promise as a means to attack a host of open problems in nonlinear science. To realize this promise, a strong and continuing collaboration between the PDE and dynamics communities is essential. The goals of the KUMU Conference are to support and facilitate this collaboration. The major themes of this year's meeting are as follows: applications of dynamical system techniques to fluid mechanics and water waves; dynamics of dispersive PDEs; and index formulas in the study of stability of nonlinear waves. Each of these topics has generated a great deal of recent activity. The KUMU Conference will help to advance this research.

该奖项将为参与者，特别是研究生，初级研究人员，妇女和数学家的科学群体，以参加第二届区域会议“ PDE的KUMU会议，动态系统和应用，动态系统和应用”，将于2016年4月23日至24日在密苏里州哥伦比亚举行，2016年4月23日至24日。堪萨斯州的劳伦斯。 会议将展示最新进展，并促进部分微分方程（PDE）和复杂系统动态的交换。自然界中许多基本的第一原则都采用了在时空变化的量的保护（或平衡）法律的形式，而这些法律自然而然地导致了部分微分方程。因此，几乎所有科学领域都遇到了PDE。他们描述了波动，扩散，变形，混合，模式形成和许多其他现象。当前感兴趣的特定应用包括气波，复杂培养基中的电动力学现象和神经科学。尽管参与者聚集在密苏里州和堪萨斯州附近的中西部和南部各州，但将包括许多在美国其他地方工作的研究人员。早期的职业数学家将有机会展示他们的工作，以获得认可和宝贵的反馈。会议网站是http://faculty.missouri.edu/~walshsa/kumu2016/many pdes控制的复杂的非线性问题，可以反映为在无限量化空间上构成的动态系统。 该策略已被证明是有效的，它无疑显示出巨大的希望，作为攻击非线性科学中许多开放问题的一种手段。要实现这一诺言，PDE与Dynamics社区之间的强大而持续的合作至关重要。 KUMU会议的目标是支持和促进这项合作。今年会议的主要主题如下：动态系统技术在流体力学和水波上的应用；色散PDE的动力学；和指数公式在非线性波的稳定性研究中。 这些主题中的每一个都产生了许多最近的活动。 库木会议将有助于推进这项研究。