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2017年3月17日至19日在匹兹堡大学举行的“非线性浪潮：分析和应用”。非线性浪潮本质上是无处不在的。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。这些不同类型的现象可以通过基于双曲线，椭圆形和分散偏微分方程的数学模型来描述，它们彼此相似。但是，数学方程式很难解决。实际上，非线性波被认为是分析部分微分方程分析中最重要的问题之一。尽管在过去几十年中，该领域取得了长足的进步，但物理，工程，工业，物质科学，生物学和其他领域的新重要和具有挑战性的问题已经出现。会议的目的是将非线性波的各种理论和应用方面的领先专家汇集在一起​​，以促进和增强统一技术，建立新的联系，并在不同的应用领域之间培养跨批准。相关的世界一流的专家和专家将在会议上进行研究谈判。该会议将为学生和初级研究人员提供机会，包括来自数学小组中代表性不足的小组的研究人员，以与该领域的最新成就保持同步，并介绍他们最近的研究结果。会议将通过谈判，网页，传单和海报来传播研究结果并促进研究领域。会议网站是www.math.pitt.edu/~dwang/~dwang/pde2017.htmlthe会议将讨论以下方向的最新突破性工作和实质性进步：水波，动力学，动力学，新型媒体的浪潮，拓扑媒介（如拓扑绝缘剂和诸如非线性的光学和养育物质和凝结物质和凝结物质）等新型媒体，并在物理学上，以及以及以及以及以及以及以及以及以及以及以及相当和辅助。发现了许多意外的连接，将这些问题彼此联系起来，和/或与部分微分方程的其他领域以及以前出现无关或彼此影响不大的新兴应用程序中的问题。这使会议特别及时。