CAREER PROPOSAL IN PHYSICAL MATHEMATICS

物理数学职业建议

• 批准号: 9733030
• 负责人: Michael Brenner
• 金额: $ 20万
• 依托单位: Massachusetts Institute of Technology
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1998
• 资助国家: 美国
• 起止时间: 1998-07-01 至 2001-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9733030&HistoricalAwards=false
• 关键词: CAREER; PROPOSAL; PHYSICAL; MATHEMATICS

9733030 Brenner This work is supported by a National Science Foundation Faculty Early Career Development Award. The research component will focus on an array of problems applying techniques of nonlinear dynamics to fluid dynamics, acoustics, and biophysics. The uniting theme is the mathematics of nonlinear partial differential equations. Specific projects include the breaking of fluid drops as an example of singularity formation in partial differential equations; the dynamical mechanisms behind electrosprays; a theoretical investigation of single bubble sonoluminescence, the conversion of acoustic energy into light; and a study of experiments in bacterial chemotaxis, done in collaboration with biologists. The educational component of this activity aims both to improve the learning environment in applied mathematics at MIT, as well as provide concrete mechanisms for using teaching opportunities to extend the principal investigator's research program to new areas. These are several specific points: There will be an initiative to involve undergraduate students in the research program by carrying out simple experiments to test theories and extend research directions. To identify and train undergraduate students for this research, it is proposed to develop a short course during the Independent Activities Period on the application of mathematics to physical experiments. The undergraduate course in basic fluid dynamics will also be revamped. For graduate students, several new courses will be developed that describe important mathematical techniques in the context of current research. Finally, a special student seminar series for informal discussion of topics of current research interest has been established. The National Science Foundation strongly encourages the early development of academic faculty as both educators and researchers. The Faculty Early Career Development (CAREER) Program is a Foundation-wide program that provides for the support of junior faculty within the context of their overall career development. It combines in a single program the support of quality research and education in the broadest sense and the full participation of those traditionally underrepresented in science and engineering. This program enhances and emphasizes the importance the Foundation places on the development of full, balanced academic careers which include both research and education.

小行星9733030 这项工作得到了国家科学基金会教师早期职业的支持 发展奖。 研究部分将侧重于一系列问题 将非线性动力学技术应用于流体动力学、声学和 生物物理学 本文的主题是非线性偏微分方程的数学 微分方程 具体项目包括液滴的破碎 作为偏微分方程中奇点形成的一个例子; 电喷雾背后的动力学机制;单粒子电喷雾的理论研究 气泡声致发光，将声能转化为光;以及 细菌趋化性实验研究，与 生物学家 这项活动的教育部分旨在改善 在麻省理工学院应用数学的学习环境，以及提供具体的 利用教学机会扩大校长 研究人员的研究计划，以新的领域。 这是几个具体的 要点：将有一个倡议，让本科生在 研究计划，通过进行简单的实验，以测试理论和扩展 研究方向。 为了确定和培养本科生， 研究，建议在独立期间开发短期课程 活动期间对数学在物理实验中的应用. 基础流体动力学的本科课程也将进行改革。 为 研究生，几个新的课程将被开发，描述重要的 在当前研究背景下的数学技术。 最后，一个特殊的 学生研讨会系列，用于当前研究主题的非正式讨论 兴趣已经建立。 美国国家科学基金会强烈鼓励早期开发 学术教师既是教育者又是研究者。 教师早期职业生涯 发展（职业）计划是一个基金会范围内的计划，提供 初级教师在其整体职业生涯的背景下的支持 发展 它结合在一个单一的计划，质量研究的支持 和教育的最广泛意义和充分参与， 传统上在科学和工程领域代表性不足。 这个程序 增强并强调基金会对发展的重视， 完整，平衡的学术生涯，包括研究和教育。