My name is Fizay-Noah (Noah) Lee, and I am a postdoc in the Department of Mathematics at Vanderbilt University. I got my PhD from the Program in Applied and Computational Mathematics (PACM) at Princeton University in May 2023 under the supervision of Peter Constantin. My current research interests lie in the rigorous analysis of PDEs arising from models in fluid dynamics and electrochemistry.
email: noah dot lee at vanderbilt dot edu
Education
PhD in Applied and Computational Mathematics, Princeton University, 09/2016 - 05/2023
On leave 09/2017 - 06/2019 for military service
BA in Mathematics, University of Chicago, 10/2012 - 12/2015
Papers & Preprints
Logarithmic Sobolev Inequalities for Bounded Domains and Applications to Drift-Diffusion Equations: (with Elie Abdo) submitted, arXiv
Long Time Dynamics of Nonequilibrium Electroconvection: Transactions of the AMS (2024) link, arXiv
On the Global Well-Posedness and Analyticity of Some Electrodiffusion Models in Ideal Fluids and Porous Media: (with Elie Abdo and Weinan Wang) SIAM Journal of Mathematical Analysis (2023) link, arXiv
Existence and Stability of Nonequilibrium Steady-states of Nernst-Planck-Navier-Stokes Systems: (with Peter Constantin and Mihaela Ignatova) Physica D: Nonlinear Phenomena (2022) link, arXiv
Global Regularity for Nernst-Planck-Navier-Stokes Systems with Mixed Boundary Conditions: Nonlinearity (2023) link, arXiv
Interior Electroneutrality in Nernst–Planck–Navier–Stokes Systems: (with Peter Constantin and Mihaela Ignatova) Archive for Rational Mechanics and Analysis (2021), link, arXiv
Nernst–Planck–Navier–Stokes Systems Far from Equilibrium: (with Peter Constantin and Mihaela Ignatova) Archive for Rational Mechanics and Analysis (2021) link, arXiv
Nernst-Planck-Navier-Stokes Systems Near Equilibrium: (with Peter Constantin and Mihaela Ignatova) Pure and Applied Functional Analysis (2022) link, arXiv
Teaching
MATH2420 (Vanderbilt University) Methods of Ordinary Differential Equations: Instructor, Spring 2024
MATH1200 (Vanderbilt University) Single-Variable Calculus I: TA, Fall 2023
MAT104 (Princeton University) Calculus II: Instructor, Summer 2023
MAT175 (Princeton University) Math Economics/Life Sciences: Preceptor, Fall 2021, Spring 2022, Fall 2022, Spring 2023
MAT202 (Princeton University) Linear Algebra with Applications: Grader, Spring 2020, Spring 2021
MAT201 (Princeton University) Multivariable Calculus: Grader, Fall 2019, Fall 2020
MAT 151-152-153 Calculus I-II-III (University of Chicago): Course Assistant, Fall 2013, Winter 2014, Spring 2014