U.S.-Japan Cooperative Research: Hydrodynamic Limit and Non Linear Stochastic Partial Differential Equations

该奖项将支持为期两年的美国-日本合作研究 Wojbor Woyczynski教授， 科学技术中的随机与混沌过程， 凯斯西储数学与统计系 克利夫兰大学教授， 名古屋大学数学系。 目的是建立一个 在水动力极限领域开展持续、直接的合作， 两者之间的非线性随机偏微分方程 在美国和日本的中心。 其他参与的研究者 在该项目是教授彼得Kotelenez，系 数学和统计，凯斯西储大学，和 东京应用物理系内山康平教授 技术研究所教授，和教授Hideo永井，部门 名古屋大学数学系。 这项研究的目的是开发一种广泛的 技术领域的随机模型的物理相关 现象，特别是在物理化学和 地球物理流体动力学和海洋学，分析， 模型的预测和识别将基于 统计、机械和概率技术， 考虑相互作用粒子的微观和介观行为 系统获得，在热力学或流体动力学的限制， 动力学描述的宏观行为通常是非线性的， 偏微分方程 该项目将汇集 美国和日本科学家开发的不同技术 这将允许开发新技术， 两种方法的一部分。

This award will support a two-year U.S.-Japan cooperative research project between Professor Wojbor Woyczynski, Center for Stochastic and Chaotic Processes in Science and Technology, Department of Mathematics and Statistics, Case Western Reserve University, Cleveland, and Professor Tadahisa Funaki, Department of Mathematics, Nagoya University. The purpose is to establish a sustained, direct cooperation in the area of hydrodynamic limits and nonlinear stochastic partial differential equations between the two centers in the United States and Japan. Other investigators involved in the project are Professor Peter Kotelenez, Department of Mathematics and Statistics, Case Western Reserve University, and Professor Kohei Uchiyama, Department of Applied Physics, Tokyo Institute of Technology, and Professor Hideo Nagai, Department of Mathematics, Nagoya University. The objective of the research is to develop a broad spectrum of techniques in the area of stochastic models for physically relevant phenomena, in particular in the areas of physical chemistry and geophysical fluid dynamics and oceanography, The analysis, prediction and identification of the models would be based on statistical, mechanical, and probabilistic techniques that take into account microscopic and mezoscopic behavior of interacting particle systems to obtain, in the thermodynamic or hydrodynamic limits, the macroscopic behavior as described by kinetic often nonlinear partial differential equations. The project will bring together the different techniques developed by the U.S. and Japanese scientists that will permit development of new techniques that utilize the best parts of the two approaches.