Mathematical Sciences/GIG: Mathematical Problems in Geophysics and Seismology

Papanicolaou和一个跨学科的科学家小组的目标是在斯坦福大学建立一个关于地球物理学和地震学数学问题的暑期学校，并支持一个关于地球物理学各种数学问题的全年研究项目。具体的兴趣领域有：随机介质中的波、辐射输运理论及其在地震学中的应用、地震和其他成像方法、高对比度断层成像、无序介质的输运性质、流固相互作用、对流扩散等。集团基础设施补助金将为暑期学校提供支持，并为研究生和博士后访客的全年研究提供支持，他们将从事从中产生的项目。数学地球物理学中有很多具有挑战性但不为数学家所知的基本数学问题。其中大多数是对地球物理研究非常感兴趣的，它肯定会从新的数学思想和技术的注入中受益。将建立一个为期一个月的暑期学校，通过提供入门级的培训，帮助促进高水平的数学研究，吸引有前途的年轻科学家和数学家进入该领域，并产生在地球物理学和地震学中有趣和重要的结果。斯坦福大学和旧金山湾区为这个项目提供了一个良好的环境，因为高级研究人员将积极参与其中。该活动的资金将由数学科学部、MPS多学科活动办公室和NSF地球科学理事会、水文科学和地球物理项目提供。

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.