EDT: Mathematical Methods for Water Problems

该项目为研究生提供了必要的工具，以识别发展数学方法的机会，以应对与全球环境变化相关的挑战，从物理学到生物学再到社会，使用水作为共同主题。这些环境和社会挑战涉及许多复杂的因素，学生将被训练应用和实施有效解决这些复杂性的数学策略。对培训至关重要的是有机会访问重要的欧洲政策中心，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，在那里政策问题被阐明并与科学分析结合起来。该项目的总体目标是为培养有才华的数学科学家提供一条途径，使他们能够对社会与自然之间的相互作用做出实质性的贡献，并制定有充分根据的策略来管理这些相互作用，以确保可持续的未来。该项目获得了国际科学与工程办公室全球创业基金的共同资助。在这个项目中解决的问题的数学建模涉及各种工具，从博弈论和网络理论到确定性和随机偏微分方程。强大的分析和数值方法的应用，以模拟水作为一种社会资源的挑战，承诺在政策和规划显著进步。另一方面，与水有关的社会挑战提出的问题将需要博弈论和随机和确定性偏微分方程的新研究方向，有助于数学的进步。在这个项目中，数学家和科学家之间的互动将为围绕水这一关键资源的社会问题带来强大的新的数学视角和技术。

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.