Mathematical Sciences Research Equipment

数学科学研究设备

• 批准号: 8805322
• 负责人: Joseph Ferrar
• 金额: $ 3.5万
• 依托单位: Ohio State University Research Foundation -DO NOT USE
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-07-01 至 1989-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8805322&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Research; Equipment

This is a grant under the Scientific Computing Research Equipment for the Mathematical Sciences program of the Division of Mathematical Sciences. It is for the purchase of special purpose equipment dedicated to the support of research in the mathematical sciences. In general, this equipment is required by several research projects, and would be difficult to justify for one project alone. Support from the National Science Foundation is coupled with discounts and contributions from manufacturers, and with substantial cost-sharing from the institution submitting the proposal. This is an instance of university, industrial, and government cooperation in the support of basic research in the mathematical sciences. The equipment in this project will be used for the following mathematical research project to be carried out in the mathematics department of Ohio State University: Coherence and Chaos in near Integrable Partial Differential Equations; Qualitative Properties of Solutions to the unsteady Prandtl Boundary Layer Equations near the Point of Separation; Stability of Travelling Wave Solutions Arising from Systems of Reaction- diffusion Equations; and Hausdorff Dimension, and other Fractal Dimensions, of Non-self-similar Sets.

这是数学科学部数学科学计划科学计算研究设备的资助。它用于购买专用于支持数学科学研究的专用设备。 一般来说，多个研究项目都需要这一设备，并且很难单独证明一个项目的合理性。 美国国家科学基金会的支持加上制造商的折扣和捐款，以及提交提案的机构的大量费用分摊。 这是大学、工业界和政府合作支持数学科学基础研究的一个例子。 本项目的设备将用于俄亥俄州立大学数学系即将开展的以下数学研究项目：近可积偏微分方程的相干性和混沌； 分离点附近非定常普朗特边界层方程解的定性性质反应扩散方程组中行波解的稳定性；非自相似集的豪斯多夫维数和其他分形维数。