Supersonic Dispersive Fluid Dynamics

超音速色散流体动力学

• 批准号: 1008973
• 负责人: Mark Hoefer
• 金额: $ 13.07万
• 依托单位: North Carolina State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2010
• 资助国家: 美国
• 起止时间: 2010-07-01 至 2014-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1008973&HistoricalAwards=false
• 关键词: Supersonic; Dispersive; Fluid; Dynamics

This project examines supersonic flows in dispersive fluids experiencing negligible dissipative effects. The main objective is to develop an understanding of fundamental excitations in dispersive fluids which are physically relevant for a number of systems including Bose-Einstein condensates, optics, plasma, and shallow water. Such excitations include oblique dispersive shock waves which will be constructed for a number of nonlinear dispersive wave equations. Properties, including stability and the behavior of interacting dispersive shock waves, will be investigated and applied to the study of multidimensional boundary value problems.Thunder, the crack of a whip, and the boom heard from a jet plane surpassing the speed of sound are familiar occurrences in human experience and all result from the generation of viscous shock waves. This project will focus on a very different type of shock wave that propagates through dispersive media such as the superfluidic Bose-Einstein condensate (BEC), nonlinear photonic crystals, plasma, and shallow water. Applications of this theory include the control of nonlinear waves, fostering advances in modern technologies such as matter lasers, atomic interferometry, and imaging.

该项目研究了具有可忽略的耗散作用的分散液中的超音速流。 主要目的是对分散液中的基本激发有所了解，这些激发与许多系统在包括Bose-Einstein冷凝物，光学，血浆和浅水在内的系统上相关。 这种激发包括倾斜的色散冲击波，这些冲击波将用于许多非线性色散波动方程。将研究属性，包括稳定性和相互作用的分散冲击波的行为，并将其应用于多维边界价值问题的研究。该项目将集中于一种非常不同的冲击波，该冲击波通过分散介质（例如超氟Bose-Einstein冷凝物（BEC），非线性光子晶体，等离子体和浅水）传播。 该理论的应用包括控制非线性波，促进物质激光器，原子干涉法和成像等现代技术的进步。