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