Mathematical Sciences: Presidential Young Investigator

数学科学：总统青年研究员

• 批准号: 8858218
• 负责人: Walter Craig
• 金额: $ 2.5万
• 依托单位: Stanford University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-08-15 至 1990-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8858218&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Presidential; Young; Investigator

This project is concerned with the development and analysis of methods of solution of nonlinear partial problems differential equations. In particular, the initial value problems of the Boussinesq and Korteweg-deVries equations will be studied. Periodic solutions of nonlinear hyperbolic partial differential equations and their bifurcations will also be pursued. Nonlinear hyperbolic partial differential equations appear in many applications to physics and continuum mechanics.

该项目涉及非线性偏问题微分方程求解方法的开发和分析。 特别是，将研究 Boussinesq 和 Korteweg-deVries 方程的初值问题。 还将寻求非线性双曲偏微分方程及其分岔的周期解。 非线性双曲偏微分方程出现在物理学和连续介质力学的许多应用中。