EDT: Mathematical Methods for Water Problems

该项目为研究生提供了必要的工具，以水为公分母，认识到发展数学方法以应对与全球环境变化有关的挑战的机会，从物理到生物再到社会。这些环境和社会挑战涉及许多复杂的因素，学生将接受培训，以应用和实施有效解决这些复杂问题的数学策略。培训的关键是通过访问重要的欧洲政策中心提供机会，例如国际应用系统分析研究所(奥地利)和斯德哥尔摩复原力中心，这些中心阐述政策问题并将其与科学分析结合起来。该项目的总体目标是提供一种途径，培养有才华的数学科学家，为理解社会与自然之间的相互作用作出实质性贡献，并制定有充分依据的战略来管理这些相互作用，以确保可持续的未来。该项目得到了国际科学和工程办公室全球风险基金的共同资助。本项目所涉及问题的数学建模涉及多种工具，从博弈论和网络理论到确定性和随机性偏微分方程式。将强大的分析和数值方法应用于将水作为一种社会资源建模的挑战，有望在政策和规划方面取得重大进展。另一方面，与水有关的社会挑战提出的问题将需要博弈论以及随机和确定性偏微分方程式的新研究方向，从而促进数学的进步。这个项目中的数学家和科学家之间的互动将带来强大的新的数学观点和技术，以解决围绕关键资源--水--的社会问题。

This project provides graduate students with tools needed to recognize opportunities for development of mathematical approaches to challenges related to global environmental change, from physics to biology to society, using as the common denominator the subject of water. These environmental and societal challenges involve many complex factors, and students will be trained to apply and implement mathematical strategies that effectively address these complexities. Essential to the training will be opportunities afforded by visits to important European policy centers, such as the International Institute for Applied Systems Analysis (Austria) and the Stockholm Resilience Center, where policy issues are articulated and integrated with scientific analyses. The overarching goal of this project is to offer an avenue to train talented mathematical scientists to contribute substantively to the understanding of the interactions between society and nature and to formulate well-founded strategies to manage these interactions to assure a sustainable future. This project has received co-funding from the Global Venture Fund of the Office of International Science and Engineering. The mathematical modeling of the problems addressed in this project involves a variety of tools, from game theory and network theory to deterministic and stochastic partial differential equations. The application of powerful analytical and numerical methods to the challenges of modeling water as a societal resource promises significant advances in policy and planning. On the other hand, the questions raised by societal challenges related to water will require new directions of research in game theory and stochastic and deterministic partial differential equations, contributing to advances in mathematics. The interactions among mathematicians and scientists in this project will bring to bear powerful new mathematical perspective and techniques to societal problems surrounding the crucial resource that is water.