Topics in Hydrodynamics (Mathematics)

弗里德兰德博士最近的研究涉及到对某些 与流体力学方程（欧拉方程）有关的问题 方程和Navier-Strokes方程）和扩展的 磁流体动力学方程组。 数学 所采用的包括来自偏微分方程的技术， 渐近方法和动力系统。 所研究的问题是 受到地球物理学和天体物理学问题的启发， 流体动力学 该研究项目将涉及联合工作， M.M.维希克 弗里德兰德博士将继续她的调查 这些问题的几个方面。 该研究的描述如下： 四个标题：（一）“快速”发电机问题;（二）不稳定性 （三）完全解的存在性; 流体动力学时间周期Floquet根向量系统; (IV)磁流体动力学稳定性 主办机构的互动活动包括：（1） 教授有关流体数学主题的研究生课程 （2）对女学生和女博士后进行指导和咨询 （3）举办一个为期两天的研讨会 由杰出的女性所做的座谈会式的演讲 数学家 本项目进一步促进了VPW计划的目标，即（1） 为妇女提供机会， 工程和科学的学科由NSF支持， (2)鼓励女性从事科学和工程职业 通过提高女性科学家和工程师的知名度， 受雇于工业、政府和学术机构。 通过 鼓励妇女参与科学，这是一个宝贵的 对国家未来的投资意义重大。

Dr. Friedlander's recent research involves the study of certain problems related to the equation of hydrodynamics (the Euler equations and the Navier-Strokes equations) and to the extended system of the equations of magnetohydrodynamics. The mathematics employed includes techniques from partial differential equations, asymptotic methods and dynamical systems. The problems studied are motivated by questions that arise in geophysical and astrophysical fluid dynamics. This research project will involve joint work with M.M. Vishik. Dr. Friedlander will continue her investigation of several facets of these problems. The research is described under four headings: (I)The "fast" dynamo problem; (II) Instability criteria for the Euler equations; (III) The existence of a complete system of Floquet root vectors in time periodic of fluid dynamics; (IV) Magnetohydrodynamic stability. Interactive activities at the host institution include: (1) teaching a graduate course on mathematical topics in fluid dynamics; (2) mentoring and counseling women students and postdocs in the mathematical sciences; and (3) organizing a two-day workshop of colloquium style lectures given by distinguished women mathematicians. This project furthers VPW program objectives which are (1) to provide opportunities for women to advance their careers in engineering and in the disciplines of science supported by NSF and (2) to encourage women to pursue careers in science and engineering by providing greater visibility for women scientists and engineers employed in industry, government, and academic institutions. By encouraging the participation of women in science, it is a valuable investment in the Nation's future significantly.