Postdoctoral Fellowship: MPS-Ascend: Fluid Dynamics and Chemotaxis on Curved Manifolds

博士后奖学金：MPS-Ascend：弯曲流形上的流体动力学和趋化性

• 批准号: 2316699
• 负责人: Rosa Maria Fuster Aguilera
• 金额: $ 30万
• 依托单位: Fuster Aguilera, Rosa Maria
• 依托单位国家: 美国
• 项目类别: Fellowship Award
• 财政年份: 2023
• 资助国家: 美国
• 起止时间: 2023-08-01 至 2026-07-31
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2316699&HistoricalAwards=false
• 关键词: Postdoctoral; Fellowship; MPS; Ascend; Fluid

Dr. Rosa Maria (Padi) Fuster Aguilera is awarded a National Science Foundation Mathematical and Physical Sciences Ascending Postdoctoral Research Fellowship (NSF MPS-Ascend) to conduct a program of research, education, and activities related to broadening participation by groups underrepresented in STEM. This fellowship supports the research project entitled "Fluid Equations and Chemotaxis on Manifolds". The project activities will be conducted at the host institution, University of Colorado Boulder, under the mentorship of Dr. Magdalena Czubak. This project includes research on two related topics in partial differential equations (PDE) and differential geometry. The first one is the search for an intrinsic viscosity operator on a general Riemannian manifold which is of great importance for understanding the appropriate formulation of the Navier-Stokes equations on curved manifolds. The second one is the study of the qualitative behavior of solutions for a PDE model for chemotaxis in curved manifolds with an application to tumor growth in organs. The broadening participation activities for this project include "Meet a Mathematician" and the "Math For All" conference. Meet a Mathematician is a collection of video interviews of mathematicians from diverse backgrounds where their personal stories as well as the mathematical research that they do is highlighted with the aim of providing role models for students. Math For All is a nationwide mathematical conference featuring speakers from diverse backgrounds with the main goal of creating a friendly and welcoming environment to discuss mathematics.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

罗莎·玛丽亚（Rosa Maria）（PADI）Fuster Aguilera博士被授予国家科学基金会的数学和物理科学，上升博士后研究奖学金（NSF MPS-ASCEND），以开展研究，教育和活动的计划，与STEM中人数不足的群体扩大参与有关的活动有关。该奖学金支持题为“流体方程和趋化性趋化性”的研究项目。该项目活动将在Magdalena Czubak博士的指导下在科罗拉多大学博尔德大学的东道机构进行。该项目包括对部分微分方程（PDE）和差异几何形状中的两个相关主题的研究。第一个是在一般的riemannian歧管上寻找固有的粘度算子，这对于理解在弯曲的歧管上适当表述的适当表述至关重要。第二个是研究曲面趋化趋化性PDE模型的定性行为，并应用了器官肿瘤生长。该项目的扩大参与活动包括“与数学家见面”和“所有数学”会议。与数学家遇见的是来自不同背景的数学家的视频访谈集合，他们的个人故事以及他们所做的数学研究的重点介绍，目的是为学生提供榜样。数学是全国数学会议，其演讲者来自不同背景的演讲者，其主要目标是创建一个友好而热情的环境来讨论数学。该奖项反映了NSF的法定任务，并被认为是值得通过基金会的知识分子优点和更广泛影响的评论标准来通过评估来进行评估的。