Conference: Arkansas Spring Lecture Series

该奖项为春季讲座系列（SLS）提供参与者支持“运输，混合和流体”在阿肯色州费耶特维尔，阿肯色州，在2023年5月5日至7日的大学。SLS在汇集数学和统计学前沿领域的初级和成熟研究人员方面有着丰富的历史，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、地球科学和数学中的一个重要课题。在五个讲师的过程中，该系列的主要发言人，安娜马祖卡托，将介绍湍流混合的数学研究的基本要素和目前的最先进的结果。此外，将有十个一小时的讲座，由特邀演讲者就相关主题以及海报会议由年轻的研究人员。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提出的公开讲座将介绍数学建模的艺术和应用，适合广大观众。当示踪剂被不可压缩的湍流携带时，它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，数学的重大发展提高了社会对混合的理解。这些进步连接学科分析，即偏微分方程（PDE），动力系统和几何测量理论。这一进展的结果已被用来探讨其他问题，在偏微分方程的分析，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特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观点。更多信息可在www.example.com上获得https://fulbright.uark.edu/departments/math/research/spring-lecture-series/index.phpThis奖项反映了NSF的法定使命，并被认为值得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来支持。

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.