U.S.-U.K. Cooperative Research: Stochastic Partial Differential Equations Related to Superprocesses

美英合作研究：与超级过程相关的随机偏微分方程

• 批准号: 9531159
• 负责人: Carl Mueller
• 金额: $ 1.65万
• 依托单位: University of Rochester
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1996
• 资助国家: 美国
• 起止时间: 1996-06-01 至 2000-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9531159&HistoricalAwards=false
• 关键词: U.S.; U.K.; Cooperative; Research; Stochastic

This three-year award supports U.S.-U.K. cooperative research in probability theory between Carl E. Mueller of the University of Rochester and Roger Tribe of the University of Warwick in the United Kingdom. The objective of their research is to investigate the relationship between stochastic partial differential equations (SPDE) and superprocesses. The U.S. and U.K. investigators bring complementary expertise in probability theory and SPDE. They will use superprocesses tools, such as the historical process and the Laplace function, and study traveling waves for supercritical Brownian superprocesses in higher dimensions. The project will advance our understanding of how stochastic partial differential equations describe natural phenomena.

这项为期三年的奖项支持了罗切斯特大学卡尔·穆勒（Carl E. Mueller）与英国沃里克大学的罗杰·穆勒（Carl E. 他们研究的目的是研究随机部分微分方程（SPDE）和超级过程之间的关系。 美国和英国调查人员提出了概率理论和SPDE的补充专业知识。 他们将使用超级过程工具，例如历史过程和拉普拉斯函数，并在更高维度的超临界布朗式超级过程中研究旅行波。 该项目将促进我们对随机部分微分方程如何描述自然现象的理解。