Mathematical Sciences: Linear and Nonlinear Wave Motion

数学科学：线性和非线性波动

• 批准号: 8902387
• 负责人: Jeffrey Rauch
• 金额: $ 13.33万
• 依托单位: Regents of the University of Michigan - Ann Arbor
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1989
• 资助国家: 美国
• 起止时间: 1989-06-01 至 1993-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8902387&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Linear; Nonlinear; Wave

8902387 Rauch The principal investigator will study the qualitative behavior of solutions of hyperbolic partial differential equations. These are the equations which govern the propagation of waves which can carry sharp signals. Studies will be made of sharply peaked fronts and high frequency wave train solutions for nonlinear equations. Another main area of research is the study of the control, observation, or stabilization of waves in a region. The understanding of the behavior of solutions of hyperbolic partial differential equations is important in many fields of application.

8902387 Rauch 主要研究者将研究定性 双曲型偏微分方程解的性质 方程 这些方程决定了 可以携带尖锐信号的波的传播。 研究 将由尖峰锋和高频波组成 训练非线性方程的解。 另一个主要领域 研究是对控制、观察或 稳定一个区域内的波浪。 解的行为的理解 双曲型偏微分方程在许多 应用领域。