Dispersive Hydrodynamics Program at the Isaac Newton Institute

艾萨克·牛顿研究所的分散流体动力学项目

• 批准号: 1941489
• 负责人: Mark Hoefer
• 金额: $ 3.5万
• 依托单位: University of Colorado at Boulder
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2020
• 资助国家: 美国
• 起止时间: 2020-07-01 至 2023-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1941489&HistoricalAwards=false
• 关键词: Dispersive; Hydrodynamics; Program; Isaac; Newton

A 6-month research-intensive program titled "Dispersive hydrodynamics: mathematics, simulations and experiments, with applications in nonlinear waves" will be held at the Isaac Newton Institute, University of Cambridge, UK from July 6–December 18, 2020. Dispersive hydrodynamics is an emergent mathematical field of research focusing on dynamic and stochastic, multiscale wave phenomena described by nonlinear partial differential equations that physically encompass the complex interplay between long-scale, hydrodynamic, and short-scale, dispersive, effects. Building upon at least six dedicated workshops and numerous conference minisymposia on the subject since 2012, this will be the first extended program on dispersive hydrodynamics. It will attract at least 25 long-term, residential visitors at any given time and 40 or more participants in each of 5 week-long workshops. The diverse, international roster of participants includes leading researchers in the applied mathematical sciences. This National Science Foundation award provides travel support for early career applied mathematicians from the United States to participate in the workshops and the long-term program. Traditionally underrepresented groups in applied mathematics will be encouraged to apply. This support enables sustained opportunities to interact with leading researchers from across the world. Such interactions and contacts are invaluable to beginning researchers, both to inspire research, and for professional development, thereby helping to cultivate the very best young researchers. These researchers will be the next generation of applied mathematicians who advance this and other applied mathematical fields of research. Dispersive hydrodynamics has emerged as a unified mathematical framework for the description of multiscale nonlinear wave phenomena in dispersive media, encompassing both dynamic and stochastic aspects of wave propagation. Theoretical and experimental developments have spawned new areas of applied mathematical research. The mathematical program weaves together research topics on integrable and nonintegrable dispersive PDEs, convex and nonconvex dispersive hydrodynamic systems, multidimensional waves, asymptotic analysis, numerical analysis, randomness and turbulence in nonlinear dispersive waves. Applications include fluid mechanics and go well beyond, to nonlinear optics, superfluids (Bose-Einstein condensates), condensed matter, and granular crystals. The program website can be found at http://www.newton.ac.uk/event/hyd, with links to the workshops and other activities.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

一个为期6个月的研究密集型计划，题为“分散流体力学：数学，模拟和实验，在非线性波中的应用”将于2020年7月6日至12月18日在英国剑桥大学艾萨克牛顿研究所举行。 弥散流体动力学是一个新兴的数学研究领域，主要研究动态和随机的多尺度波现象，这些波现象由非线性偏微分方程描述，物理上包含了长尺度、流体动力学和短尺度、弥散效应之间的复杂相互作用。 自2012年以来，至少有六个专门的研讨会和许多关于该主题的会议minisymopsia，这将是分散流体力学的第一个扩展计划。 它将在任何特定时间吸引至少25名长期居民参观者，并在为期5周的讲习班中吸引40名或更多的参与者。 多样化的国际参与者名单包括应用数学科学的主要研究人员。这个国家科学基金会奖为来自美国的早期职业应用数学家提供旅行支持，以参加研讨会和长期计划。传统上在应用数学代表性不足的群体将被鼓励申请。这种支持使持续的机会与来自世界各地的领先研究人员进行互动。这种互动和接触对于刚开始的研究人员来说是非常宝贵的，既可以激励研究，也可以促进专业发展，从而有助于培养最优秀的年轻研究人员。这些研究人员将是下一代的应用数学家谁推进这一点和其他应用数学领域的研究。 色散流体力学已经成为描述色散介质中多尺度非线性波动现象的统一数学框架，包括波动传播的动态和随机方面。理论和实验的发展催生了应用数学研究的新领域。该数学课程将可积和不可积色散偏微分方程、凸和非凸色散流体动力学系统、多维波、渐近分析、数值分析、非线性色散波中的随机性和湍流等研究课题编织在一起。应用包括流体力学，并远远超出，非线性光学，超流体（玻色-爱因斯坦凝聚），凝聚态物质和粒状晶体。该计划的网站可以在http：//www.newton.ac.uk/event/hyd上找到，并提供了研讨会和其他活动的链接。该奖项反映了NSF的法定使命，并被认为值得通过使用基金会的知识价值和更广泛的影响审查标准进行评估来支持。