Mathematical Modeling and Analysis of Materials

PhillipsDMS-0630496 研究者和他的同事们与自然哲学协会组织了一次会议，主题是“材料的数学建模和分析”。会议议程包括四个部分：特鲁斯德尔讲座（由学会设立的著名讲座），六个由资深研究人员主讲的讲座，三个由最近的博士主讲的讲座，以及一个关于未来方向的公开论坛。会议被广泛宣传，特别是寻求研究生的出席。 研究生和年轻的研究人员的参与是特别鼓励投入的预算的一大部分，以支持他们的旅费。 会议的主题解决了数学和物理方面的热，电和机械性能之间的相互作用，在新的晶体和软物质系统。 所涉及的系统包括铁电液晶和多晶，以及弹性体。 应用包括用于视频显示器的电光开关、执行器、传感器和微型泵，这些都是为了利用机电相互作用而设计的。 这些都是重要的国家的最先进的应用程序，提出了重大的数学挑战，在theiranalysis。 演讲者是数学家和物理学家，他们正在研究这些系统的分析，建模和模拟。 突出了几个共同的主题。 这些系统的自然设置是以薄膜，长丝和薄条的形式。 一个主题是应用伽玛收敛和紧凑技术来捕获低维模型。 这些系统都有复杂的能量和许多亚稳态。 第二个主要主题是确定性和随机调查的介电和铁电开关之间的这种状态。 第三个主题是调查这些材料的流动。 自然哲学学会会议有着跨学科的努力的历史，这种精神是这次会议的核心。 会议向科学界做广告，发言者名单包括物理学家和工程师。 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开放的问题。 这是通过支持这些人的旅行费用，让年轻的研究人员作为演讲者，并举行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.