课题基金 / 基金详情

Mathematical Sciences: Problems in Nonlinear Partial Differential Equations

Mathematical Sciences: Problems in Nonlinear Partial Differential Equations
数学科学:非线性偏微分方程问题
批准号:
9003337
负责人:
Joel Smoller
金额:
$10.3万
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
1991
资助国家:
美国
项目状态:
已结题
起止时间:
1991-02-15 至 1993-01-31

项目摘要

项目成果

Joel Smoller的其他基金

相似基金

相关文献

中文摘要
翻译
主要研究人员继续研究非线性 偏微分方程 当前研究 包括非线性波解的破缺 方程,有限对称半线性方程的解 群,二维球面上的共形度量, 爱因斯坦-杨-米尔斯方程的径向对称解, 冲击波问题和某些拓扑学问题。 这些数学问题捕捉到了各种 的生理问题。 例如, 爱因斯坦-杨-米尔斯的研究对 量子效应在形成黑洞中的重要性。 数学生物学、物理学和几何学中的许多问题 都有显示特定模式或对称性的解。 对称中断指示 随着问题参数的变化,
英文摘要
The principal investigators continue studies of nonlinear partial differential equations. The present investigations include symmetry-breaking for solutions of nonlinear wave equations, solutions of semilinear equations with finite symmetry groups, conformal metrics on the two-dimensional sphere, radially symmetric solutions of Einstein-Yang-Mills equations, shock wave problems, and certain problems of topology. These mathematical questions capture features of a variety of physical problems. For instance, questions addressed in the Einstein-Yang-Mills studies have implications for the importance of quantum effects in forming black holes. Many problems in mathematical biology, physics, and geometry have solutions that show certain patterns or symmetries. Symmetry-breaking indicates changes in the character of the solutions as parameters of the problems change.
期刊论文(0)
专著(0)
科研奖励(0)
会议论文
Mathematical Questions in Gravitation, Black Holes, Cosmology, and Rotating Stars
Nonlinear Partial Differential Equations and Applications to Fluid Dynamics, General Relativity and Geometry
Mathematical Questions Resulting from the Coupling of Gravity to Other Fields
Differential Equations resulting from the interaction of Gravity with other Force Fields, and Shock-Waves in General Relativity
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