Mathematical Sciences: Convergence of Approximate Solutions to Conservation Laws

数学科学：守恒定律近似解的收敛性

• 批准号: 9209326
• 负责人: Philippe Le Floch
• 金额: $ 2.5万
• 依托单位: New York University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-07-01 至 1994-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9209326&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Convergence; Approximate; Solutions

The mathematical theory of discontinuous solutions to hyperbolic systems is developing intensively motivated by problems from continuum physics which model reactive flows, multiphase flows, and elastoplastic flows, for example. The principal investigator will focus on methods of approximation for these problems and their convergence to physical discontinuous solutions. A better understanding of the methods of numerical approximation for some fundamental hyperbolic problems arising in continuum physics has profound real world implications. These ideas carry over to such initiatives as materials processing.

非连续解的数学理论 双曲型方程组的发展受到了 模拟反应流的连续介质物理问题， 多相流和弹塑性流。 的 首席研究员将专注于近似方法， 这些问题及其收敛到物理间断 解决方案 更好地理解数值方法 一些基本的双曲问题的近似 连续统物理学具有深刻的真实的世界含义。 这些 这些想法也被应用到材料加工等领域。