International Conference on Hyperbolic Problems: Theory, Numerics & Applications

国际双曲问题会议：理论、数值

• 批准号: 0125789
• 负责人: Thomas Hou
• 金额: $ 1.8万
• 依托单位: California Institute of Technology
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2001
• 资助国家: 美国
• 起止时间: 2001-09-01 至 2002-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0125789&HistoricalAwards=false
• 关键词: International; Conference; Hyperbolic; Problems; Theory

The International Conference on "Hyperbolic Problems: Theory, Numerics and Applications" will be held in CalTech on March 25-29, 2002. The planned Hyp2002 conference will be the ninth meeting in the bi-annual international series which became one of the highest quality and most successful conference series in Applied mathematics. There have been many new developments in hyperbolic and nonlinear evolution PDEs since the last international hyperbolic PDEs conference was held in the US at Stony Brook in 1994. In the 2002 hyperbolic PDEs conference to be held at CalTech, we would like to bring young and active scientists together with leading researchers from different disciplines to address the theoretical, modeling, and computational issues in solving hyperbolic PDEs and more generally nonlinear evolution equations arising from various application areas. In fact, we would like to broaden further the scope of our next hyperbolic conference to include new and exciting research areas such as multiscale modeling and simulations (deriving and simulating meso-scale or nanoscale material properties in micro devices), geophysical applications (wave propagation in random media, coarsening of multi-phase flows through multiscale porous media), computational biology and computational chemistry, free boundary problems arising from materials science and multi-component fluid dynamics (thin films, crystal growth, multi-fluid interfaces, solid/liquid interfaces). The conference will provide a forum to exchange and to stimulate new ideas from different disciplines, and to formulate new challenging problems that will have important physical and industrial impacts.Theoretical and numerical studies of hyperbolic problems have made tremendous impact in the developments of US economy and technology. Many high-resolution methods developed in the hyperbolic community have helped design faster airplanes, new materials, and improve our space exploration program. The hyperbolic conference series and its proceedings have become a focal point for active research in a growing field, where theory, numerics and applications complement each other. The earlier conferences were focused more on theoretical aspects of hyperbolic conservation laws. As computers became more and more powerful in the late eighties and the nineties, many effective numerical methods have been developed in simulating hyperbolic systems arising in aerodynamics and fluid dynamics applications. The hyperbolic meetings in this series have been very successful in steering the development of new high-resolution algorithms for solving complex physical systems. Many of these developments found new applications outside their traditional area of Computational Fluid Dynamics, including materials science, multiphase/multicomponent flows, combustion/detonation, flows with free boundary, geometrically based motions for image processing and more. We believe that hosting such a high level conference in the US will greatly benefit the US scientists working in this general area. It is especially helpful in educating our graduate students and postdocs, providing them with the opportunity to be in touch with the leading experts working on the frontier of this field. We will take several measures to attract young scientists. An effort will be made to increase the number of women

“双曲问题：理论、数值与应用”国际会议将于2002年3月25-29日在加州理工学院举行。计划中的Hyp 2002会议将是两年一度的国际系列会议中的第九次会议，该系列会议已成为应用数学领域最高质量和最成功的会议系列之一。自1994年在美国斯托尼布鲁克召开的国际双曲偏微分方程会议以来，双曲和非线性发展偏微分方程的研究取得了许多新的进展。在2002年的双曲偏微分方程会议将在加州理工学院举行，我们想把年轻和活跃的科学家与来自不同学科的领先研究人员一起解决的理论，建模和计算问题，在解决双曲偏微分方程和更普遍的非线性演化方程所产生的各种应用领域。事实上，我们希望进一步扩大我们的下一个双曲线会议的范围，包括新的和令人兴奋的研究领域，如多尺度建模和模拟（推导和模拟微型器件中的中尺度或纳米尺度材料特性），地球物理应用（随机介质中的波传播，通过多尺度多孔介质的多相流的粗化），计算生物学和计算化学，材料科学和多组分流体动力学（薄膜、晶体生长、多流体界面、固/液界面）中的自由边界问题。会议将提供一个论坛，交流和激发来自不同学科的新思想，并制定新的挑战性问题，将有重要的物理和工业影响。双曲问题的理论和数值研究在美国经济和技术的发展产生了巨大的影响。在双曲线社区开发的许多高分辨率方法有助于设计更快的飞机，新材料，并改善我们的太空探索计划。双曲线会议系列及其会议记录已成为一个不断发展的领域中积极研究的焦点，理论，数值和应用相互补充。早期的会议更多地集中在双曲守恒律的理论方面。80年代末和90年代，随着计算机的日益强大，在空气动力学和流体动力学应用中出现了许多有效的数值方法来模拟双曲方程组。本系列中的双曲线会议在指导解决复杂物理系统的新高分辨率算法的开发方面非常成功。其中许多发展在传统的计算流体动力学领域之外找到了新的应用，包括材料科学，多相/多组分流动，燃烧/爆炸，自由边界流动，基于几何的图像处理运动等等。我们相信，在美国举办这样一个高级别的会议将大大有利于美国科学家在这一领域的工作。它特别有助于教育我们的研究生和博士后，为他们提供与在该领域前沿工作的领先专家接触的机会。我们将采取多项措施吸引青年科学家。将努力增加妇女人数，