Mathematics and Mechanics in the 22nd Century: Seven Decades and Counting...

该补助金为“22世纪的数学和力学：七个十年和计数”会议提供部分支持。“将于2015年10月23日至25日在俄勒冈州的尤金举行。数学和力学之间的相互作用，以及随后在材料科学和生物学中的应用，将是会议的中心主题。这笔赠款将用于资助青年科学家参加会议的旅费，并在闪电战和展览会上展示海报。20世纪40年代后期，复杂材料的连续介质理论的发展开始出现新的趋势，并建立了连接连续介质力学和分子原子结构的理论基础。这些新的研究领域促进了新的数学和力学理论的发展，这些理论以新材料和设备的设计为基础，从医学到先进制造业都有应用。会议有两个主要目标。首先，它将探讨最新的发展和新的趋势，并将确定非线性材料，设备，生物建模和相关的数学和计算思想和工具的未来研究的前景。在过去的七十年里，处于这种发展前沿的跨学科科学家学校指导和培养了新一代的杰出科学家，其中包括大量妇女，她们自己也在该领域发挥了领导作用。因此，会议的另一个主要目标是讨论对后代的指导战略，以确保科学和人类发展的持续成功，并向代表性不足的群体成员伸出援手。 与会者将探索工具，以克服在跨学科研究的初期职业生涯的挑战，并确定新的教育需求。 另一项组织任务将是确定一个学术多元化的池初级研究人员在美国和监督，与一个非常强大的存在的妇女和成员的代表性不足的群体。非线性弹性出现在数学界的工作结果埃里克森和里夫林，从20世纪40年代末到60年代。这开始了黄金时期的研究变分法和偏微分方程，从观点的分析和几何。这些发展也导致了复杂材料领域的杰出成就，如晶体相变理论，形状记忆合金，铁电和磁性材料，复合材料和液晶。虽然会议发言人的选择与这些研究主题有关，但重点将放在新的和前瞻性的数学和材料的发展和应用上。这些将包括材料研究的主题，导致新的清洁能源，以及新的数学工具，以了解和计算液晶中的缺陷，并随后应用于电解质运输，以及病毒的机械研究对耐药细菌的研究。会议还设想了一个关于新材料开发战略的科学小组，伴随的数学工具，以及跨学科和教育挑战。 会议的网址是http://www.ima.umn.edu/2015-2016/SW10.23-25.15/

This grant provides partial support for a conference on "Mathematics and Mechanics in the 22nd Century: Seven Decades and Counting..." to be held October 23-25, 2015, in Eugene, Oregon. The interaction between mathematics and mechanics, with ensuing applications to materials science and biology, will be the central theme of the conference. The grant will support travel expenses of young scientists to participate in the conference and present a poster in the blitz and exhibit sessions. The late 1940s saw the beginning of new trends in the development of a continuum theory of complex materials and the foundation of theories that bridge continuum mechanics and molecular and atomic structure. These new areas of inquiry were catalytic to the development of new mathematical and mechanics theories at the basis of design of new materials and devices, with applications from medicine to advanced manufacturing. The conference has two main goals. First, it will explore recent developments and new trends and will identify prospects for future research on nonlinear materials, devices, biological modeling, and related mathematical and computational ideas and tools. The interdisciplinary school of scientists at the forefront of such developments during the last seven decades has mentored and produced new generations of outstanding scientists, which include a large number of women, who have themselves reached leadership roles in the field. Thus, another main goal of the conference is to discuss mentoring strategies for future generations to ensure the continued scientific and human development success and to reach out to members of underrepresented groups. The participants will explore tools to overcome the challenges of an incipient career in interdisciplinary research and identify new educational demands. Another organizational task will be identifying an academically diverse pool of junior researchers across the USA and oversees, with a very strong presence of women and members of underrepresented groups.Nonlinear elasticity emerged in the mathematical community as a result of the works by Ericksen and Rivlin, from the late 1940s to 1960s. This initiated a golden period of research in the calculus of variations and partial differential equations, from the points of view of both analysis and geometry. These developments also lead to outstanding success in the field of complex materials, such as the theories of phase transformations in crystals, shape memory alloys, ferroelectric and magnetic materials, composites, and liquid crystals. While the selection of conference speakers is made in connection with these themes of research, the emphasis will be placed on new and prospective mathematical and materials developments and applications. These will include topics on materials research leading to new sources of clean energy, as well as new mathematical tools to understand and compute defects in liquid crystals and ensuing applications to electrolytic transport, and mechanical studies of viruses towards research on antibiotic-resistant bacteria. The conference also envisions a scientific panel on strategies for new materials development, accompanying mathematical tools, and interdisciplinary and educational challenges. The website for the conference can be found at http://www.ima.umn.edu/2015-2016/SW10.23-25.15/