Mathematical Sciences Research Equipment

这是科学计算研究基金会的一笔拨款 该司数学科学方案的设备 数学科学。这是为了购买特殊的 专用于支持研究的设备 数学科学 一般来说，这种设备需要 几个研究项目，很难证明 一个项目单独。 国家科学基金会的支持 再加上制造商的折扣和贡献， 并由提交报告的机构分摊大量费用， 这个提议 这是一个大学、工业和 政府合作支持基础研究 数学科学 本项目中的设备将用于以下方面 数学研究项目将在 俄亥俄州州立大学数学系：连贯性和 近可积偏微分方程中的混沌 非定常Prandtl方程解的定性性质 分离点附近的边界层方程;稳定性 行波解产生于反应系统- 扩散方程; Hausdorff维数和其他分形 非自相似集的维数。

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.