Mathematical Sciences: NSF-CBMS Regional Conference on Nonlinear Wave Equations; June 6-10, 1988

数学科学：NSF-CBMS 非线性波动方程区域会议；

• 批准号: 8714338
• 负责人: Jeng-Eng Lin
• 金额: --
• 依托单位: George Mason University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-01-01 至 1988-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8714338&HistoricalAwards=false
• 关键词: Mathematical; Sciences; NSF; CBMS; Regional

The theory of nonlinear wave equations has long played a prominent role in physics and applied mathematics, for instance in theories of gases and liquids, in the theory of elementary particles, and in cosmology. Their mathematical study goes back to Riemann, but methods of analysis were not sufficiently developed for a systematic study until the 1960's. In this decade there were several major breakthroughs, including the beginnings of theories of global existence, blow up, solitons, scattering, the inverse scattering method, and shock waves. The subject has continued to undergo rapid change. Major developments in the 1980's have included the study of important special systems like the Minkowski-Yang-Mills equations and the Vlasov-Maxwell equations, the development of a stability theory of solitary waves, and general results on solutions of small amplitude and on the propagation of weak singularities. This conference will be devoted to nonlinear wave equations. Walter A. Strauss, one of the principal architects of the subject, will be the main speaker and will deliver a series of ten lectures.

非线性波动方程理论长期以来在物理学和应用数学中发挥着重要作用，例如在气体和液体理论、基本粒子理论和宇宙学中。他们的数学研究可以追溯到黎曼，但直到20世纪60年代，分析方法还没有得到充分的发展，无法进行系统的研究。在这十年中有几个重大突破，包括全球存在理论的开始，爆破，孤子，散射，逆散射方法和冲击波。这一主题继续经历着迅速的变化。在20世纪80年代的主要发展包括研究重要的特殊系统，如闵可夫斯基-杨-米尔斯方程和弗拉索夫-麦克斯韦方程，孤立波的稳定性理论的发展，和一般结果的解决方案的小幅度和传播的弱奇性。这次会议将致力于非线性波动方程。Walter A.施特劳斯，该主题的主要建筑师之一，将是主要发言人，并将提供一系列的十个讲座。