U.S.-Brazil Cooperative Research: Studies on the Tricomi Operator and Operators of Mixed Type

美巴合作研究：Tricomi算子及混合型算子研究

• 批准号: 0124940
• 负责人: Jose Barros-Neto
• 金额: --
• 依托单位: Rutgers University New Brunswick
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2002
• 资助国家: 美国
• 起止时间: 2002-01-01 至 2008-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0124940&HistoricalAwards=false
• 关键词: U.S.; Brazil; Cooperative; Research; Studies

Barros-Neto0124940This U.S.-Brazil Program award will provide support for cooperative research between Dr. Jose Barros-Neto of Rutgers University and Dr. Fernando Cardoso at the Universidade Federal do Recife in Brazil. The researchers intend to study fundamental solutions to a class of partial differential equations that have been the subject of extensive studies and generalizations for their usefulness as a mathematical model in gas dynamics and flows.More specifically, this project involves the study of fundamental solutions of the Tricomi equation, which is the classical prototype of a partial differential operator of mixed type, and its generalizations at certain spatial points. Building on the important role that certain hypergeometric functions play in the finding of fundamental solutions to the Tricomi operator, the researchers aim to develop new analytic facts about differential operators of mixed type and push forward standard Euclidean analysis to higher dimensional manifolds with more complicated symmetry structure.

Barros-Neto0124940该美国-巴西项目奖将为罗格斯大学的 Jose Barros-Neto 博士和巴西累西腓联邦大学的 Fernando Cardoso 博士之间的合作研究提供支持。 研究人员打算研究一类偏微分方程的基本解，这些偏微分方程作为气体动力学和流动数学模型的有用性已成为广泛研究和推广的主题。更具体地说，该项目涉及研究以下方程的基本解： Tricomi方程是混合型偏微分算子的经典原型，及其在某些空间点上的推广。 基于某些超几何函数在寻找 Tricomi 算子基本解中所发挥的重要作用，研究人员的目标是开发有关混合型微分算子的新分析事实，并将标准欧几里德分析推广到具有更复杂对称结构的更高维流形。