Nonlinear Differential Equations, Mechanics and Bifurcation Conference, May 20-22, 2002, Durham, North Carolina

NSF奖摘要- DMS-0138923数学科学：非线性微分方程、力学和分叉摘要0138923剪切机该奖项支持参加2002年5月20-22日在杜克大学举行的非线性微分方程、力学和分叉会议的美国与会者。 会议的目的是探讨常微分方程和偏微分方程、力学和分叉以及工业数学领域之间的联系，并鼓励年轻数学科学家参与这些领域。演讲者包括这些领域的知名领导者，以及有前途的年轻数学家和科学家。 这次会议是杜克大学、北卡罗来纳州州立大学和北卡罗来纳州大学在查佩尔山的研究三角大学之间的合作。会议的中心主题是非线性在物理系统中的作用，特别是弹性、颗粒材料和流体流动。 近年来，实验、建模、理论力学、数学分析、数值模拟和工业设计之间的相互作用已被证明特别富有成效。这次会议汇集了来自所有这些领域的科学家和数学家。该会议旨在包括对新实验现象的发现，提出的数学模型，理论发展和挑战以及相应的数值方法创新之间的相互作用的热烈讨论。 在固体、流体和颗粒材料的实验中可以观察到分叉和图案的形成，并且分析现象的数学技术已经变得相当复杂。 这种实验与理论之间的联系，再加上数值模拟，贯穿整个会议。

NSF Award Abstract - DMS-0138923Mathematical Sciences: Nonlinear Differential Equations, Mechanics and BifurcationAbstract0138923 ShearerThis award supports U.S. participants in the conference on Nonlinear Differential Equations, Mechanics, and Bifurcation held at Duke University on May 20-22, 2002. The purpose of the conference is to explore connections between the fields of ordinary and partial differential equations, mechanics and bifurcation, and industrial mathematics, and to encourage the involvement of young mathematical scientists in these areas.The speakers include established leaders in these fields, as well as promising young mathematicians and scientists. The meeting is a collaboration between the Research Triangle universities of Duke University, North Carolina State University, and the University of North Carolina at Chapel Hill.The central theme of the conference is the role of nonlinearity in physical systems, especially elasticity, granular materials, and fluid flow. The interplay between experiments, modeling, theoretical mechanics, mathematical analysis, numerical simulation, and industrial design has proved particularly fruitful in recent years. This conference brings together scientists and mathematicians from all of these areas. The conference is designed to include lively discussion of the interplay between discoveries of new experimental phenomena, proposed mathematical models, theoretical developments and challenges, and corresponding innovations in numerical methods. Bifurcation and pattern formation are observed in experiments with solids, fluids and granular materials, and the mathematical techniques to analyze phenomena have grown quite sophisticated. This connection between experiment and theory, coupled to numerical simulation, occurs throughout the conference.