U.S.-Mexico Cooperative Research: Some Theoretical and Numerical Problems in Differential Equations

美墨合作研究：微分方程中的一些理论和数值问题

• 批准号: 9602947
• 负责人: Konstantin Mischaikow
• 金额: $ 2.48万
• 依托单位: Georgia Tech Research Corporation
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1997
• 资助国家: 美国
• 起止时间: 1997-03-01 至 2001-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9602947&HistoricalAwards=false
• 关键词: U.S.; Mexico; Cooperative; Research; Some

9602947 Mischaikow This Americas Program award will support a collaborative project between mathematicians from the Georgia Institute of Technology, and the Universidad Nacional Autonoma de Mexico (UNAM), on a study of theoretical and numerical problems in differential equations. Leaders of the groups are Dr. Konstatin Mischaikow for the U.S. and Dr. Gilberto Flores for Mexico. A broad array of mathematical problems will be investigated in the areas of ordinary and partial differential equations, including theoretical and approximation aspects on inverse problems, approximation techniques in integrable Hamiltonian systems, elliptic equations with critical Sobolev exponents, existence of periodic orbits, and traveling waves phenomena. Both institutions involved in the project have complementary strengths in the areas of analytical and numerical aspects of differential equations. As a result of the collaboration a broadly based scientific exchange between the two institutions will be established that will significantly contribute to the training of graduate students. ***

小行星9602947 该美洲计划奖将支持格鲁吉亚理工学院和墨西哥国立自治大学（UNAM）数学家之间的合作项目，研究微分方程的理论和数值问题。 这些小组的领导人是美国的Konstatin Mischaikow博士和墨西哥的Gilberto弗洛雷斯博士。 广泛的数学问题将在普通和偏微分方程领域进行研究，包括反问题的理论和近似方面，可积哈密顿系统的近似技术，具有临界Sobolev指数的椭圆方程，周期轨道的存在性和行波现象。 参与该项目的两个机构在微分方程的分析和数值方面具有互补优势。 通过合作，将在两个机构之间建立基础广泛的科学交流，这将大大有助于培养研究生。 ***