Mathematical Sciences: Existence and Numerical Approximation of Viscous, Compressible Flows

数学科学：粘性可压缩流的存在性和数值近似

• 批准号: 8700071
• 负责人: David Hoff
• 金额: $ 7.98万
• 依托单位: Indiana University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1987
• 资助国家: 美国
• 起止时间: 1987-06-15 至 1991-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8700071&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Existence; Numerical; Approximation

This research program is concerned with the solutions to the Navier-Stokes equations in fluid mechanics. It addresses the question of existence of solutions, the qualitative nature of these solutions, the relationship between these solutions and the solutions of the corres- ponding inviscid flow problems, and the computation of the finite difference approximations of the exact solutions. The results of this research project are expected to lead to a better understanding of physcial systems involving compressible viscous fluid flows and hence a better design for these systems.

这个研究项目关注的是解决方案 流体力学中的纳维-斯托克斯方程 它 解决了存在解的问题， 这些解决方案的定性性质， 在这些解决方案和相应的解决方案之间， 积水无粘流问题，计算 的有限差分近似的精确 解决方案 该研究项目的成果预计将 从而更好地理解物理系统， 可压缩粘性流体流动，因此设计更好 对于这些系统。