Mathematical Sciences: Markov Processes

数学科学：马尔可夫过程

• 批准号: 9201222
• 负责人: Srinivasa Varadhan
• 金额: $ 16.54万
• 依托单位: New York University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-06-15 至 1996-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9201222&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Markov; Processes

The principal investigator will study models of physical systems involving a large number of components. Many of these components interact and some interactions are stochastic. Generally there are quantities which are conserved when the system is viewed globally, and partial differential equations can be used to describe the evolution of these quantities. Euler's equations for fluid flow can be derived from classical laws of motion that conserve mass, momenta, and energy. The principal investigator will study similar types of equations for other physical systems involving a large number of components.

主要研究者将研究物理模型， 涉及大量组件的系统。 许多这些 组件相互作用，并且一些相互作用是随机的。 一般来说，有一些量是守恒的， 系统是全局性的，偏微分方程可以 可以用来描述这些量的演变。 流体流动的欧拉方程可以由下式导出： 质量、动量和能量守恒的经典运动定律。 首席研究员将研究类似类型的方程 对于其他涉及大量 件.