Conference on Hyperbolic Problems

该奖项为研究生和初级研究人员参加2018年6月25日至29日在宾夕法尼亚州立大学大学公园举行的“第十七届双曲问题：理论、数值和应用国际会议”（HYP2018）提供支持。会议重点介绍了双曲偏微分方程基本理论的最新进展，以及相关的数学模型，这些模型经历了持续的活动和令人兴奋的最新进展。双曲问题在现代科学和工程中无处不在，从流体的数学理论到动物的集体运动（如鸟群），再到交通和行人流。预计会议将对美国学术界、工业界和国家实验室应用数学的未来发展产生相当大的影响。会议的网站可以在http://www.hyp2018.psu.edu/上找到会议的目标之一是汇集对双曲型微分方程的理论，计算和应用方面感兴趣的研究人员，学生和实践者。HYP2018是两年一次的系列会议中的第十七次会议，在不同的地点举行，其上一次美国会议（第十二次）于2008年举行。该系列会议的独特之处在于，它强调鼓励跨学科合作，将复杂的数学应用于当代重大兴趣的挑战性问题。会议重点讨论的主题包括：流体的数学理论及其在工程、医学和生物学方面的新应用；网络上的双曲方程，具有各种应用，最显著的是道路网络上的交通流；多体系统集体动力学的动力学和流体模型输运方程，特别关注最优性和混合；广义相对论方程；以及双曲型偏微分方程和微分对策的控制问题。全体会议和特邀发言者的名单包括这些科学领域的主要世界专家。专门的小组会议将致力于构建开放的问题，以吸引听众中年轻科学家的注意。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 support for graduate students and junior researchers to attend the "XVII International Conference on Hyperbolic Problems: Theory, Numerics, and Applications" (HYP2018) held at the Pennsylvania State University, University Park on June 25-29, 2018. The conference highlights recent advances in the fundamental theory of hyperbolic partial differential equations, as well as related mathematical models that have experienced sustained activity and exciting recent progress. Hyperbolic problems are ubiquitous in modern science and engineering, ranging from the mathematical theory of fluids, to collective motion of animals (such as flocks of birds), to traffic and pedestrian flow. The meeting is expected to have considerable impact on future developments of applied mathematics in academia, industry, and national Labs in the United States. The conference website can be found at http://www.hyp2018.psu.edu/ One of the conference's objectives is to bring together researchers, students, and practitioners with interest in the theoretical, computational, and applied aspects of differential equations of hyperbolic type. HYP2018 is the seventeenth meeting in a biennial series with varying venues, whose last United States meeting (the twelfth) was held in 2008. The conference series is unique in its emphasis on encouraging interdisciplinary collaborations that involve sophisticated mathematics applied to challenging problems of great contemporary interest. Among the topics highlighted at the conference are: the mathematical theory of fluids, with new engineering, medical, and biological applications; hyperbolic equations on networks, with a variety of applications, most notably to traffic flow on a network of roads; kinetic and fluid models for collective dynamics of many-body systems; transport equations, with particular focus on optimality and mixing; the equations of general relativity; and control problems for hyperbolic partial differential equations and differential games. The list of plenary and invited speakers includes leading world experts in these scientific areas. Special panel sessions will be devoted to framing open problems to attract the attention of junior scientists in the audience.This 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.