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

这笔赠款为一个题为“22世纪的数学和力学：七十年和计算……”的会议提供了部分资助。将于2015年10月23日至25日在俄勒冈州尤金举行。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，将是这次会议的中心主题。这笔赠款将支持年轻科学家参加会议的旅费，并在闪电战和展示会上展示海报。20世纪40年代末，复杂材料的连续体理论的发展开始出现新的趋势，并建立了连接连续体力学与分子和原子结构的理论基础。这些新的探索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装置的设计为基础，从医学到先进制造的应用。这次会议有两个主要目标。首先，它将探索最近的发展和新的趋势，并将确定未来在非线性材料、装置、生物建模以及相关的数学和计算思想和工具方面的研究前景。在过去70年里，走在这类发展前沿的跨学科科学家学校指导和培养了新一代杰出的科学家，其中包括大量女性，她们本身也在该领域担任领导职务。因此，会议的另一个主要目标是讨论子孙后代的指导战略，以确保科学和人类发展继续取得成功，并与代表性不足群体的成员进行接触。参与者将探索克服跨学科研究初创职业的挑战的工具，并确定新的教育需求。另一项组织任务将是确定美国各地学术上不同的初级研究人员队伍，并监督其中非常强大的女性和代表性不足群体的成员。从20世纪40年代末到20世纪60年代，由于埃里克森和里夫林的工作，数学界出现了非线性弹性。从分析和几何的角度来看，这开启了变分和偏微分学研究的黄金时期。这些发展也导致了在复杂材料领域的巨大成功，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。虽然会议发言者的选择与这些研究主题有关，但重点将放在新的和预期的数学和材料的发展和应用上。这些主题将包括导致新的清洁能源的材料研究的主题，以及了解和计算液晶中的缺陷并随后应用于电解运输的新的数学工具，以及针对抗生素耐药性细菌研究的病毒机械研究。会议还设想了一个关于新材料开发战略的科学小组，与之配套的数学工具，以及跨学科和教育挑战。会议的网址为：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/