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.

Rosa Maria (Padi) Fuster Aguilera 博士被授予美国国家科学基金会数学和物理科学提升博士后研究奖学金 (NSF MPS-Ascend)，用于开展与扩大 STEM 代表性不足群体的参与相关的研究、教育和活动计划。该奖学金支持题为“流形上的流体方程和趋化性”的研究项目。该项目活动将在主办机构科罗拉多大学博尔德分校在 Magdalena Czubak 博士的指导下进行。该项目包括偏微分方程（PDE）和微分几何两个相关主题的研究。第一个是在一般黎曼流形上寻找特性粘度算子，这对于理解弯曲流形上纳维-斯托克斯方程的适当公式非常重要。第二个是研究弯曲流形趋化性 PDE 模型解的定性行为，并应用于器官中的肿瘤生长。该项目的广泛参与活动包括“遇见数学家”和“全民数学”会议。 《认识数学家》是来自不同背景的数学家的视频采访合集，其中重点介绍了他们的个人故事以及他们所做的数学研究，旨在为学生提供榜样。 Math For All 是一个全国性的数学会议，由来自不同背景的演讲者参加，其主要目标是创造一个友好和热情的数学讨论环境。该奖项反映了 NSF 的法定使命，并通过使用基金会的智力价值和更广泛的影响审查标准进行评估，被认为值得支持。