Defect dynamics in nonlinear Hamiltonian partial differential equations

非线性哈密顿偏微分方程中的缺陷动力学

• 批准号: 261955-2013
• 负责人: Jerrard, Robert
• 金额: $ 2.48万
• 依托单位: University of Toronto
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2016
• 资助国家: 加拿大
• 起止时间: 2016-01-01 至 2017-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=594684
• 关键词: Defect; dynamics; nonlinear; Hamiltonian; partial

This proposal will investigate mathematical issues related to the behaviour of vortex filaments in fluids. This is a topic that has fascinated scholars dating back at least to the days of Leonardo da Vinci, and over the past 60 years, physicists have realized that vortex-like objects are present not only in everyday fluids such as water and air, but also in a wide range of other physical phenomena, ranging from very small scales (quantum mechanical fluids such Bose-Einstein condensates, superconductors, micromagnetic materials) to extremely large scales (hypothetical cosmic strings).

这个建议将调查有关的流体中的涡丝的行为的数学问题。这是一个令学者们着迷的话题，至少可以追溯到列奥纳多达芬奇的时代，在过去的60年里，物理学家们已经意识到，漩涡状物体不仅存在于水和空气等日常流体中，而且存在于其他广泛的物理现象中，从非常小的尺度（量子力学流体如玻色-爱因斯坦凝聚体、超导体、微磁材料）到极大尺度（假设的宇宙弦）。