Mathematical Sciences/GIG: Mathematical Problems in Geophysics and Seismology

数学科学/GIG：地球物理学和地震学中的数学问题

• 批准号: 9709320
• 负责人: George Papanicolaou
• 金额: $ 100万
• 依托单位: Stanford University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1997
• 资助国家: 美国
• 起止时间: 1997-09-01 至 2003-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9709320&HistoricalAwards=false
• 关键词: Mathematical; Sciences; GIG; Problems; Geophysics

The aim of Papanicolaou and an interdisciplinary group of scientists is to establish a Summer School on Mathematical Problems in Geophysics and Seismology at Stanford, and to support a year-round research program on various mathematical problems from geophysics. Specific areas of interest are the following: waves in random media, radiative transport theory and its applications in seismology, seismic and other methods for imaging, high contrast tomography, transport properties of disordered media, fluid-solid interaction, convection-diffusion, etc. The Group Infrastructure Grant will provide support for the Summer School and for the year-round research of graduate students and postdoctoral visitors who will work on projects that emerge from it. Mathematical geophysics is very rich in basic mathematical problems that are challenging but not well-known to mathematicians. Most these are of great interest in geophysics research, which will certainly benefit from the infusion of new mathematical ideas and techniques. A one-month Summer School will be established that will help promote high level mathematics research, attract promising young scientists and mathematicians into the area by providing training at an introductory level, and produce results that are interesting and important in geophysics and seismology. Stanford and the San Francisco Bay area provide an excellent environment for this project because of the unusual concentration of senior researchers that will be actively involved with it. Funding for this activity will be provided by the Division of Mathematical Sciences, the MPS Office of Multidisciplinary Activities, and the NSF Geosciences Directorate, Hydrological Sciences and Geophysics Programs.

Papanicolaou和一个跨学科的科学家小组的目的是在斯坦福大学建立一所有关地球物理和地震学数学问题的暑期学校，并支持一项全年的研究计划，讨论地球物理学的各种数学问题。 感兴趣的具体领域如下：随机媒体中的波浪，辐射运输理论及其在地震学，地震学和其他用于成像的方法，高对比度的层析成像，高对比度的层析成分，无序媒体的运输特性，流体 - 固定的交互，对流扩散等。小组基础设施赠款将为暑期学校以及全年的研究人员和毕业生的研究提供支持，以便访问毕业生的研究人员，以供访问人员进行研究。 数学地球物理学非常丰富，基本的数学问题具有挑战性，但数学家并不众所周知。 这些大多数在地球物理研究中都引起了极大的兴趣，这肯定会从注入新的数学思想和技术中受益。 将建立一个月的暑期学校，该学校将有助于促进高级数学研究，通过在入门水平上提供培训，吸引有前途的年轻科学家和数学家进入该地区，并在地球物理学和地震学中产生有趣且重要的结果。斯坦福大学和旧金山湾区为该项目提供了一个绝佳的环境，因为将积极参与该项目的高级研究人员的异常集中。 这项活动的资金将由数学科学部，国会议员多学科活动办公室以及NSF地球科学局，水文科学和地球物理学计划提供。