Mathematical Modeling and Analysis of Materials

菲利普斯DMS-0630496这位研究人员和他的同事组织了一次与自然哲学学会的会议，主题是“材料的数学建模和分析”。会议计划由四个部分组成：特鲁斯代尔讲座(由协会发起的著名讲座)，高级研究人员的六次讲座，新近博士的三次讲座，以及关于未来方向的公开论坛。这次会议得到了广泛的宣传，特别是吸引研究生参加。特别鼓励研究生和年轻研究人员参与，因为预算中有很大一部分用于支持他们的旅费。会议主题讨论了新的晶体和软物质系统中热、电和机械性能之间相互作用的数学和物理方面。涉及的体系包括铁电液体晶体和多晶体以及弹性体。应用包括用于视频显示的光电开关、执行器、传感器和用于利用机电交互作用的微型泵。这些都是重要的最先进的应用，在它们的分析中提出了重大的数学挑战。演讲者是数学家和物理学家，他们目前正在研究这些系统的分析、建模和模拟。重点介绍了几个常见的主题。这些系统的自然环境是以薄膜、细丝和细条的形式。其中一个主题是应用伽马收敛和紧凑性技术来捕捉低维模型。这些系统都具有复杂的能量格局，具有许多亚稳定状态。第二个主要主题是这些态之间的介电和铁电转换的确定性和随机性研究。第三个主题是对这些材料中流动的调查。自然哲学学会会议有着跨学科努力的历史，这种精神是这次会议的核心。会议向科学界做了广告，演讲者名单上有物理学家和工程师。会议的一个目标是让学生和年轻的研究人员接触到这一领域的挑战和公开问题。这是通过资助这些人的旅行费用、让年轻的研究人员担任演讲者以及举办一次关于未来方向的会议来实现的。

PhillipsDMS-0630496 The investigator and his colleagues organize a conferencewith the Society for Natural Philosophy on the topic,"Mathematical Modeling and Analysis of Materials." Theconference The conference program consists of four elements: theTruesdell lecture (a distinguished named lecture instituted bythe Society), six lectures by senior researchers, three lecturesgiven by recent Ph.D.s, and an open forum on future directions. The conference is widely advertised, specifically seekinggraduate student attendance. Participation of graduate studentsand young investigators is especially encouraged by devoting alarge component of the budget to supporting their travelexpenses. The conference themes address mathematical andphysical aspects of the interaction between thermal, electric,and mechanical properties in novel crystalline and soft mattersystems. The systems addressed include ferroelectric liquidcrystals and polycrystals, and elastomers. Applications includeelectro-optical switches for video displays, actuators, sensorsand miniature pumps designed to exploit electro-mechanicalinteractions. These are important state-of-the-art applicationsthat present significant mathematical challenges in theiranalyses. The speakers are mathematicians and physicists whopresent their research on analysis, modeling, and simulations forthese systems. Several common themes are highlighted. Thenatural setting for these systems is in the form of films,filaments, and thin strips. One theme is the application ofgamma-convergence and compactness techniques to capturelower-dimensional models. These systems all have complex energylandscapes with many meta-stable states. A second major theme isdeterministic and stochastic investigations of dielectric andferroelectric switching between such states. A third theme isthe investigation of flows in these materials. The Society for Natural Philosophy Conferences have ahistory of being cross-disciplinary endeavors and that spirit iscentral to this meeting. The conference is advertised to thescience community and the list of speakers includes physicistsand engineers. A goal of the conference is to expose studentsand young researchers to the challenges and open problems in thisarea. This is accomplished by supporting the travel expenses forthese people, having young researchers as speakers, and byholding a session on future directions.