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Mathematical Sciences: Linear and Nonlinear Wave Motion

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
依托单位国家:
美国
项目类别:
Continuing Grant
财政年份:
1989
资助国家:
美国
项目状态:
已结题
起止时间:
1989-06-01 至 1993-05-31

项目摘要

项目成果

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相关文献

中文摘要
翻译
[902387]劳赫首席研究员将研究双曲型偏微分方程解的定性行为。这些方程控制着能携带尖锐信号的波的传播。研究非线性方程的尖峰前和高频波列解。另一个主要的研究领域是对某一地区波浪的控制、观察或稳定的研究。对双曲型偏微分方程解的性质的理解在许多应用领域都是重要的。
英文摘要
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.
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会议论文
Multiscale Analysis of Hyperbolic Partial Differential Equations
Applied Hyperbolic Partial Differential Equations
Nonlinear Geometric Optics
Qualitative Behavior of Nonlinear Hyperbolic Waves
国内基金
海外基金
Handbook of the Mathematics of the Arts and Sciences的中文翻译
  • 批准号:
    12226504
  • 项目类别:
    数学天元基金项目
  • 资助金额:
    20.0万元
  • 批准年份:
    2022
  • 负责人:
    黄朝凌
  • 依托单位:
SCIENCE CHINA: Earth Sciences
Journal of Environmental Sciences
SCIENCE CHINA Information Sciences