Conference: Arkansas Spring Lecture Series

会议：阿肯色州春季系列讲座

• 批准号: 2247139
• 负责人: Ariel Barton
• 金额: $ 2万
• 依托单位: University of Arkansas
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2023
• 资助国家: 美国
• 起止时间: 2023-04-01 至 2025-03-31
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2247139&HistoricalAwards=false
• 关键词: Conference; Arkansas; Spring; Lecture; Series

This award provides participant support for the Spring Lecture Series (SLS) on "Transport, mixing and fluids" at the University of Arkansas in Fayetteville, Arkansas, on May 5-7, 2023. The SLS has a rich history of bringing together junior and established researchers in cutting edge areas of mathematics and statistics with the goal of educating and elevating the next generation of talent. Turbulent mixing is a subject of broad importance in physics, engineering, geosciences and mathematics. Over the course of five lecturers, the principal speaker for the series, Anna Mazzucato, will introduce fundamental elements of the mathematical study of turbulent mixing and present state of the art results. Additionally, there will be ten one-hour lectures by invited speakers on related topics as well as a poster session by young researchers. A career panel will be included to foster the career development of junior participants. Finally, a public lecture presented by Lisette de Pillis will present the art and applications of mathematical modeling at a level suited to a broad audience. When a tracer is carried by a turbulent incompressible flow, it is rapidly dispersed throughout the fluid medium, that is, it becomes mixed. This dynamic is important to many areas of research, including atmospheric and oceanographic science, biology, and chemistry. Recently, major mathematical developments have improved society's understanding of mixing. These advances connect disciplines within analysis, namely partial differential equations (PDE), dynamical systems, and geometric measure theory. Results of this progress have been used to explore other problems in the analysis of PDE, such as the loss of regularity for transport equations. The lectures will present the mathematical fundamentals behind these processes as well as advanced results by the principal and invited speakers in order to provide participants with a broad and current perspective on the field. More information is available at https://fulbright.uark.edu/departments/math/research/spring-lecture-series/index.phpThis award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

该奖项为 2023 年 5 月 5 日至 7 日在阿肯色州费耶特维尔阿肯色大学举行的关于“传输、混合和流体”的春季讲座系列 (SLS) 提供支持。SLS 拥有丰富的历史，将初级和高级学生聚集在一起。在数学和统计学的前沿领域建立了研究人员，其目标是教育和提升下一代人才。湍流混合是物理学、工程学、地球科学和数学中广泛重要的课题。在五位讲师的课程中，该系列的主要发言人 Anna Mazzucato 将介绍湍流混合数学研究的基本要素以及当前的最新成果。此外，还将有十场由特邀演讲者就相关主题进行的一小时讲座，以及由年轻研究人员举办的海报会议。将包括一个职业小组，以促进初级参与者的职业发展。最后，由 Lisette de Pillis 主持的公开讲座将以适合广大观众的水平展示数学建模的艺术和应用。当示踪剂被不可压缩的湍流携带时，它会迅速分散在整个流体介质中，即混合在一起。这种动态对于许多研究领域都很重要，包括大气和海洋科学、生物学和化学。最近，数学的重大发展提高了社会对混合的理解。这些进步将分析中的学科联系起来，即偏微分方程 (PDE)、动力系统和几何测度理论。这一进展的结果已被用来探索偏微分方程分析中的其他问题，例如输运方程的规律性损失。讲座将介绍这些过程背后的数学基础知识以及校长和受邀演讲者的先进成果，以便为参与者提供该领域的广泛和当前的视角。更多信息请访问 https://fulbright.uark.edu/departments/math/research/spring-lecture-series/index.php 该奖项反映了 NSF 的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准。