Mathematical Sciences: Analysis of Collisionless Plasmas

数学科学：无碰撞等离子体的分析

• 批准号: 9101517
• 负责人: Jack Schaeffer
• 金额: $ 7.74万
• 依托单位: Carnegie-Mellon University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-07-01 至 1994-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9101517&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Analysis; Collisionless; Plasmas

This project is concerned with the study of Poisson-Vlasov and Maxwell-Vlasov systems which model the time evolution of a collisionless plasma moving under the influence of its self inducted electromagnetic field. Main emphasis will be placed on proving the existence of global smooth solutions and time asymptotics in the context of modeling solar winds. A procedure for construction of multiple steady state solutions will be further analyzed. This project has implications in atmospheric sciences as well as areas of energy such as nuclear fusion.

这个项目是关于泊松-弗拉索夫的研究 和Maxwell-Vlasov系统，它们模拟了 无碰撞等离子体在其自身的影响下运动 感应电磁场 主要重点将放在 证明整体光滑解的存在性和时间 在模拟太阳风的背景下的渐近性。 的程序 构建多个稳态解决方案将是 进一步分析。 该项目对大气科学有影响， 以及核聚变等能源领域。