Emphasis Year: Nonlinear Partial Differential Equations and Their Applications; Spring, 1998; Evanston, Illinois

小行星9708261 该奖项将为1997-98重点年提供部分支持， 非线性偏微分方程及其应用 西北大学。这个特殊年份的目标是发展一些 非线性偏微分方程与 诸如流体力学、相变、自由边界 问题、材料科学和平均曲率流。的重点 重点年将是非线性部分国际会议 1998年春季的微分方程及其应用。期间 一年来，专家和初级研究人员对所指国家进行了一系列访问， 地区已规划。 非线性偏微分方程出现在几乎所有的科学领域 与工程学特别是，它们出现在材料科学，生物物理学， 环境和全球变化过程以及工业制造 流程. 这些方程在弹性力学、 可塑性，半导体，离子的生物运输，相变， 多相工艺、燃烧以及蚀刻和沉积工艺。 理解这些非线性方程的解使人们能够获得 新的物理见解，以发现内在的规律，并反过来，解决 这些领域的一些挑战性问题。 拟议项目旨在 将一群不同的应用数学家和理论 偏微分方程及其应用的分析师， 探索他们领域之间的联系 个人将被选中 谁可以分享专业知识，着眼于在指定的应用程序， 应用科学和其他数学领域的代表， 西北大学教员。 拥有如此多样化专业知识的研究人员经常 未经探索的共同利益，通过富有成效的交流， 导致新的结果和发现。 将特别关注 最近的博士生和/或研究生的参与 为了培养他们对非线性偏微分方程的兴趣， 在科学和工程中的应用。

9708261 Chen This award will provide partial support for the 1997-98 Emphasis Year in Nonlinear Partial Differential Equations and Their Applications at Northwestern University. The goal of this special year is to develop some of the new connections between nonlinear partial differential equations and such diverse areas as fluid mechanics, phase transitions, free boundary problems, materials science, and mean curvature flow. The focus of this emphasis year will be an International Conference on Nonlinear Partial Differential Equations and Applications in the Spring of 1998. During the year, a series of visits of experts and junior researchers in the indicated areas is planned. Nonlinear partial differential equations arise in almost all areas of science and engineering. In particular, they arise in materials science, biophysics, environmental and global change processes, and industrial manufacturing processes. These equations are predominant in such areas as elasticity, plasticity, semiconductors, biological transport of ions, phase transitions, multi-phase processes, combustion, and etching and deposition processes. Understanding solutions of such nonlinear equations enables one to gain new physical insights, to discover the intrinsic laws, and, in turn, to solve some challenging problems in these areas. The proposed project is intended to bring together a diverse group of applied mathematicians and theoretical analysts in partial differential equations and their applications who are able to explore connections between their fields. Individuals will be selected who can share expertise with an eye toward applications in the indicated areas in applied sciences and other mathematical areas represented by the Northwestern faculty. Researchers with such diverse expertise have often unexplored common interests which, by means of fruitful exchanges, can lead to novel results and discoveries. Particular attention will be focused on the p articipation of recent doctoral recipients and/or graduate students in order to foster their interests in nonlinear partial differential equations and applications in science and engineering.