Fifth Workshop on Nonlinear Dispersive Equations

该奖项支持美国的参与-基于数学家，包括研究生，博士后研究人员和初级教师，在“第五次非线性色散方程研讨会”，举行了2022年11月8日至11日，在联邦大学米纳斯吉拉斯，贝洛奥里藏特，巴西。这是一个在分析和非线性微分方程领域的合作会议，旨在通过汇集该领域的北美和南美研究人员，特别是为初级数学家建立国际联系。该研讨会将为大量从事非线性波动方程研究的研究人员提供合作，教育和网络机会，并为美国早期职业生涯提供独特的专业机会。基于研究人员，包括那些从历史上代表性不足的群体在数学科学。这是该系列会议中的第五次此类会议;以前的会议在促进研究非线性模型、波、湍流和各种实际应用中产生的奇异性方面越来越成功，包括流氓波和空气湍流、光学和通信以及力学。 非线性发展方程领域在过去的三十年里经历了戏剧性的增长。新的思想和技术使数学家能够探索以前似乎难以解决的问题，并且这项工作导致了对几个基本非线性波动方程的理解的进步，例如非线性薛定谔方程，Korteweg-de弗里斯方程，Benjamin-Ono方程和非线性Klein-Gordon方程，包括它们的各种推广和扩展。然而，一些重要的问题，如稳定和相干结构的描述，尚未得到充分的探讨。会议将集中讨论与非线性色散模型的数学描述相关的常见问题以及该领域的最新进展。更多信息可以在会议网站上找到：https://sites.google.com/view/v-wndeThis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 supports participation of U.S.-based mathematicians, including graduate students, postdoctoral researchers, and junior faculty, in the “Fifth Workshop on Nonlinear Dispersive Equations,” held November 8-11, 2022, at the Federal University of Minas Gerais, Belo Horizonte, Brazil. This is a collaborative meeting in the area of analysis and nonlinear differential equations that is geared towards creating international connections, especially for junior mathematicians, by bringing together North and South American researchers in the field. The workshop will provide collaborative, educational, and networking opportunities for a significant number of researchers working in nonlinear wave equations and offers unique professional opportunities to early-career U.S.-based researchers, including those from historically underrepresented groups in the mathematical sciences. This is the fifth such meeting in its series; previous meetings have been increasingly successful in promoting research that studies nonlinear models, waves, turbulence, and singularities arising in various practical applications, including rogue waves and air turbulence, optics and communication, and mechanics. The field of nonlinear evolution equations has been experiencing dramatic growth over the last thirty years. New ideas and techniques have enabled mathematicians to explore questions that previously seemed intractable, and the work has led to advances in understanding several fundamental nonlinear wave equations such as the nonlinear Schrödinger, Korteweg-de Vries, Benjamin-Ono, and nonlinear Klein-Gordon equations, including their various generalizations and extensions. However, some important questions, such as the description of stable and coherent structures, are yet to be fully explored. The conference will focus on common questions associated with the mathematical description of nonlinear dispersive models and the latest advances in the field. Additional information can be found at the conference website: https://sites.google.com/view/v-wndeThis 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.