Conference: Arkansas Spring Lecture Series

该奖项为2023年5月5日至7日在阿肯色州费耶特维尔的阿肯色州大学举办的春季系列讲座(SLS)提供参与者支持，主题为“运输、混合和流体”。SLS有着将数学和统计前沿领域的初级和老牌研究人员聚集在一起的丰富历史，目的是教育和提升下一代人才。湍流混合是物理、工程、地球科学和数学中的一个重要课题。在五位讲师的课程中，该系列的主要演讲者安娜·马祖卡托将介绍湍流混合的数学研究的基本元素和目前的最新成果。此外，还将有10位受邀演讲者就相关主题进行一小时的演讲，以及年轻研究人员的海报会议。将包括一个职业小组，以促进初级参与者的职业发展。最后，由利塞特·德·皮利斯主持的公开演讲将在适合广大观众的水平上介绍数学建模的艺术和应用。当示踪剂被湍流不可压缩流动携带时，它会迅速分散在整个流体介质中，也就是说，它变得混合。这种动态对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，重大的数学发展提高了社会对混合的理解。这些进展将分析中的学科联系在一起，即偏微分方程(PDE)、动力系统和几何测度论。这一进展的结果已被用来探讨偏微分方程组分析中的其他问题，如输运方程失去正则性。讲座将介绍这些过程背后的数学基础以及校长和特邀发言者的先进成果，以便向与会者提供关于这一领域的广泛和最新的观点。更多信息可在https://fulbright.uark.edu/departments/math/research/spring-lecture-series/index.phpThis获得，该奖项反映了国家科学基金会的法定使命，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.