About me

Welcome to my website! I am an Assistant Research Professor at Temple University, where I work alongside Dr. Mihaela Ignatova on advanced fluid dynamics models. 

I earned my Ph.D. in Spring 2023 under the guidance of Dr. Zachary Bradshaw. My dissertation explored the asymptotic and separation properties of discretely self-similar solutions to the Navier-Stokes equations, and our ongoing work focuses on their approximation properties within critical classes. 

My current research interests encompass fluid dynamics and partial differential equations, with a particular emphasis on self-similar blow-up regimes, the stability of vortices under perturbations, and the behavior of inviscid limits.

Contact Information 

• patrick.phelps0001 [at] temple [dot] edu

Interpersonal Skills

• Teaching and tutoring

  • Calculus, Algebra, Analysis

  • Instructor of record for multiple courses

  • Certificate of Teaching in Higher Education from Temple University

• Leadership

  • President of the University of Arkansas Graduate Student Colloquium

  • Assistant organizer of the University of Arkansas Analysis Seminar

  • Department representative in the Graduate-Professional Student Congress

    • Voted on graduate student agendas 

    • Served on the Grant Review Committee

Technical Skills

• Mathematical fluid dynamics research

  • Focused in partial differential equations

  • Using tools from harmonic analysis

• Programming Languages:  C/C++, Python, Java.

  • Undergraduate degree minor in Computer Science from Adelphi University

  •  Programming internship at Northrop Grumman

  • Technical Courses, including Scientific Computing, and Finite Element Methods at University of Arkansas

• Markup Language:  LaTex.

  • Self-taught through paper writing and course curriculum creation

• Technical Software:  MATLAB, Microsoft Excel

  • MATLAB: through courses with Dr. Tulin Kaman

  • Excel: though work at the Library Stack System at Adelphi University, and self-taught for academic use