Well Posedness of Systems of Conservation Laws Near Solutions Containing Large Waves

包含大波浪的解附近守恒定律系统的适定性

• 批准号: 0306201
• 负责人: Marta Lewicka
• 金额: $ 8.24万
• 依托单位: University of Chicago
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2003
• 资助国家: 美国
• 起止时间: 2003-07-15 至 2006-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0306201&HistoricalAwards=false
• 关键词: Well; Posedness; Systems; Conservation; Laws

The proposal will establish boundedness and integrability results for wave patterns arising from strictly hyperbolic systems of conservation laws. The methods apply to patterns of non-interacting shock and rarefaction waves generated as solutions of the one-dimensional Riemann and Cauchy problems without any restrictions on their amplitude. As to the project's broader impacts, the PI is hoping to link the analytical results obtained to recent experimental data where the bounded variation instabilities of certain heavy gases have been discovered. These findings will have impact in the fields of astronomy and astrophysics.

该提案将为严格的保护法律制度引起的波模式建立界限和整合性结果。这些方法适用于作为一维黎曼和库奇问题的解决方案产生的非相互作用冲击和稀疏波的模式，而无需限制其振幅。至于该项目的更广泛的影响，PI希望将获得的分析结果与最新的实验数据联系起来，在该数据中，已经发现了某些重气体的有限变化不稳定性。这些发现将在天文学和天体物理学领域产生影响。