U.S.-France Joint Seminar on Partial Differential Equations and Continuum Models of Phase Transitions, Nice, France, January, 1988

该奖项将支持由美国威斯康星大学麦迪逊分校的Marshall Slemrod教授和法国尼斯大学的Michel Rascle教授联合举办的“偏微分方程和相变连续统模型”美法联合研讨会。该研讨会将于1988年1月在尼斯举行，届时将汇集来自法国和美国的研究人员，讨论力学、冶金和固态物理领域的非线性偏微分方程的公式和解。要解决的主要课题包括晶体缺陷、范德华流体、液晶、数值模拟以及固体物理和工业技术中的当前问题。将特别强调随着时间的推移而演变的问题。由于1987-88年被法国国家科学研究中心（CNRS）定为“非线性现象特别年”，因此在这个时候在法国举行这次研讨会尤为合适。本研讨会将集中讨论在相变研究中出现的微分方程的解，相变具有非标准的数学结构。以理论、应用和数值数学的最新进展为基础，这将是第一次强调动力学问题的研讨会，并将在固态和半导体电子学以及流体力学的问题解决中产生应用结果。

This award will support a Joint US-France Seminar on Partial Differential Equations and Continuum Models of Phase Transitions, to be jointly organized by Prof. Marshall Slemrod, University of Wisconsin-Madison, and Prof. Michel Rascle, University of Nice, France. The seminar, to be held in Nice in January, 1988, will bring together researchers from France and the US to discuss the formulation and solution of nonlinear partial differential equations in the fields of mechanics, metallurgy, and solid state physics. The main subjects to be addressed include crystal defects, van der Waals fluids, liquid crystals, numerical simulation, and current problems in both solid state physics and industrial technology. Particular emphasis will be placed on problems which evolve in time. It is especially appropriate to hold this seminar in France at this time, because 1987-88 has been denoted the Special Year of Nonlinear Phenomena by the French National Center for Scientific Research (CNRS). This seminar will focus on solutions to differential equations that arise in the study of phase transitions, which have a nonstandard mathematical structure. Building on recent advances in theoretical, applied, and numerical mathematics, this will be the first such seminar to emphasize dynamical problems, and should produce results of use in the solution of problems in solid-state and semiconductor electronics and in fluid mechanics.