Conference on Nonlinear Waves: Analysis and Applications

非线性波会议：分析与应用

• 批准号: 1651097
• 负责人: Ming Chen
• 金额: $ 1.66万
• 依托单位: University of Pittsburgh
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2017
• 资助国家: 美国
• 起止时间: 2017-02-01 至 2018-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1651097&HistoricalAwards=false
• 关键词: Conference; Nonlinear; Waves; Analysis; Applications

This award supports participation in the conference "Nonlinear Waves: Analysis and Applications", to be held at the University of Pittsburgh on March 17-19, 2017. Nonlinear waves are ubiquitous in nature. Examples include water waves, acoustics, the solar wind, vibrational waves in materials and laser beams, and propagation of nerve impulses, among many others. These disparate types of phenomena can be described by mathematical models that are based on hyperbolic, elliptic and dispersive partial differential equations and that are surprisingly similar to each other. However, the mathematical equations are extremely difficult to solve; in fact the nonlinear waves are considered as one of the most important problems in the analysis of partial differential equations. Although considerable progress has been made in the field over the past few decades, new important and challenging problems have been emerging in physics, engineering, industry, material sciences, biology, and other fields. The goal of the conference is to bring together leading experts in various theoretical and applied aspects of nonlinear waves to promote and enhance unifying techniques, to establish new connections, and to foster cross-fertilization among different fields of application. Relevant world-class experts and specialists will give research talks at the conference. The conference will provide an opportunity for students and junior researchers, including those from underrepresented groups in mathematics groups to get abreast with the latest achievements in the field and present their recent research results. The conference will disseminate research results and promote the research area through talks, webpage, flyers, and posters. The conference web site is www.math.pitt.edu/~dwang/pde2017.htmlThe conference will discuss the recent breakthrough work and substantial progress achieved in the following directions: water waves, kinetic theory, waves in novel media such as topological insulators and metamaterials, waves in nonlinear optics and condensed matter physics, and so on. Many unexpected connections were discovered linking these problems to each other, and/or to problems in other areas of partial differential equations and to emerging applications which previously appeared unrelated or had little impact on one another. This makes the conference especially timely.

该奖项支持参加将于 2017 年 3 月 17 日至 19 日在匹兹堡大学举行的“非线性波：分析与应用”会议。非线性波在自然界中无处不在。例子包括水波、声学、太阳风、材料和激光束中的振动波以及神经冲动的传播等等。这些不同类型的现象可以通过基于双曲、椭圆和色散偏微分方程的数学模型来描述，并且彼此惊人地相似。然而，数学方程极其难以求解；事实上，非线性波被认为是偏微分方程分析中最重要的问题之一。尽管过去几十年该领域取得了相当大的进展，但物理学、工程、工业、材料科学、生物学和其他领域不断出现新的重要且具有挑战性的问题。会议的目标是汇集非线性波各个理论和应用方面的领先专家，以促进和增强统一技术，建立新的联系，并促进不同应用领域之间的交叉融合。世界一流的有关专家和专家将在会议上作研究报告。此次会议将为学生和初级研究人员，包括数学组中代表性不足的群体提供一个了解该领域最新成果并展示他们最新研究成果的机会。会议将通过演讲、网页、传单和海报等方式传播研究成果并推广研究领域。会议网址为www.math.pitt.edu/~dwang/pde2017.html会议将讨论近期在以下方向取得的突破性工作和实质性进展：水波、动力学理论、拓扑绝缘体等新型介质中的波和超材料、非线性光学中的波和凝聚态物理等。人们发现了许多意想不到的联系，将这些问题相互联系起来，和/或与偏微分方程其他领域的问题联系起来，并与以前看似不相关或彼此影响不大的新兴应用联系起来。这使得这次会议显得尤为及时。