Conference on Recent Developments in Continuum Mechanics and Partial Differential Equations

连续介质力学和偏微分方程最新发展会议

• 批准号: 1500939
• 负责人: Petronela Radu
• 金额: $ 1.83万
• 依托单位: University of Nebraska-Lincoln
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2015
• 资助国家: 美国
• 起止时间: 2015-03-15 至 2016-02-29
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1500939&HistoricalAwards=false
• 关键词: Conference; Recent; Developments; Continuum; Mechanics

This award provides partial support for participants in the "Conference on Recent Developments in Continuum Mechanics and Partial Differential Equations" held at the University of Nebraska-Lincoln (UNL), April 18-19, 2015. The subject of continuum mechanics is concerned with modeling the mechanical behavior of materials as continua: solids (elasticity) and liquids (fluid dynamics). It underlies numerous engineering applications, including the behavior of architectural structures, tires and other vehicle parts, aerospace vehicles, and a wide range of other deformable substances. Partial differential equations provide a mathematical language for expressing relationships among quantities of interest, such as the distortion of an elastic body or the velocity in a fluid, and most mathematical models in engineering and science are expressed in terms of partial differential equations. This meeting will be held in conjunction with the Howard Rowlee Lecture, an endowed public lecture presented annually by the Department of Mathematics at UNL. This year's lecture will be given on April 17th, and the timing and coordination of the Lecture and the Conference should enhance the impact of both. The purpose of the Conference is to foster contacts between mathematicians (junior, senior, and all points in between) within a broad spectrum of applied mathematics.The Conference will comprise a series of presentations by established, prominent researchers, as well as recent Ph.D. recipients. The meeting brings together specialists who, owing to their respective fields of study, might not otherwise have occasion to meet and exchange ideas. The meeting will focus on recent advances in continuum mechanics, partial differential equations, and related fields in applied mathematics. The interests of the speakers cover areas such as numerical analysis, variational problems, mathematical modeling, singular integrals, pseudo-differential operators, dispersive equations, and nonlinear acoustics. The lectures will address some of the major problems in these fields, including modeling aspects, and analytic and numerical results. They will also present new techniques that have been recently developed, as well as open problems and possible venues for their investigation. Conference web site: http://www.math.unl.edu/~mfoss3/2015conference/

该奖项为2015年4月18-19日在内布拉斯加大学林肯分校（UNL）举行的“连续介质力学和偏微分方程最新发展会议”的参与者提供了部分支持。连续介质力学的主题是关注材料作为连续体的力学行为建模：固体（弹性）和液体（流体动力学）。它是众多工程应用的基础，包括建筑结构、轮胎和其他车辆部件、航空航天车辆以及其他各种可变形物质的行为。偏微分方程为表达感兴趣的量之间的关系提供了一种数学语言，例如弹性体的变形或流体中的速度，工程和科学中的大多数数学模型都是用偏微分方程表示的。这次会议将与霍华德·罗利讲座一起举行，霍华德·罗利讲座是由UNL数学系每年举办的公开讲座。今年的讲座将在4月17日举行，讲座和会议的时间安排和协调应增强两者的影响力。会议的目的是在广泛的应用数学领域内促进数学家之间的联系（初级，高级和所有之间的点）。会议将包括一系列由知名研究人员以及最近获得博士学位的人发表的演讲。会议汇集了专家，他们由于各自的研究领域，否则可能没有机会见面和交换意见。会议将集中讨论连续介质力学、偏微分方程和应用数学相关领域的最新进展。演讲者的兴趣涵盖数值分析、变分问题、数学建模、奇异积分、伪微分算子、色散方程和非线性声学等领域。讲座将讨论这些领域中的一些主要问题，包括建模方面，以及分析和数值结果。他们还将介绍最近开发的新技术，以及开放的问题和可能的研究场所。会议网址：http://www.math.unl.edu/~mfoss3/2015conference/