Conference: Arkansas Spring Lecture Series

该奖项为将于2023年5月5日至7日在阿肯色州费耶特维尔的阿肯色大学举行的“运输、混合和流体”春季系列讲座（SLS）提供参与者支持。SLS拥有丰富的历史，将数学和统计学前沿领域的初级和成熟研究人员聚集在一起，以教育和提升下一代人才。湍流混合在物理、工程、地球科学和数学中具有广泛的重要性。在五个讲师的课程中，该系列的主要演讲者Anna Mazzucato将介绍湍流混合数学研究的基本要素和最新的研究结果。此外，还将有10场由特邀演讲者就相关主题进行的一小时讲座，以及青年研究人员的海报会议。此外，亦设有职业发展小组，促进青年参加者的职业发展。最后，由Lisette de Pillis主持的公开讲座将以适合广大观众的水平介绍数学建模的艺术和应用。当示踪剂被湍流不可压缩流携带时，它在整个流体介质中迅速分散，即混合。这种动态对许多研究领域都很重要，包括大气和海洋学、生物学和化学。最近，主要的数学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）、动力系统和几何测量理论。这一进展的结果已用于探索PDE分析中的其他问题，例如输运方程的正则性损失。讲座将介绍这些过程背后的数学基础，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最新视角。更多信息可在https://fulbright.uark.edu/departments/math/research/spring-lecture-series/index.phpThis上获得，该奖项反映了美国国家科学基金会的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。

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.