Jinsil Lee

Postdoctoral Researcher

Seoul National University

Email: jl74942 (at) snu.ac.kr

RESEARCH AREA

– General elliptic second-order equations

– 2D and 3D Stokes and Navier–Stokes equations

– 2D and 3D Monge–Ampère equations and the optimal transport problem

– Keller–Segel equations (preventing singularity formation in specific models)

– Nonlinear elliptic PDEs

– Singularly perturbed PDEs with Corrector functions

– Helmholtz equations

– Singularly perturbed PDEs with Corrector functions

– Spatial interpolation at ungauged locations

Seoul National University, Seoul, South Korea
Postdoctoral Researcher (Feb 2025 – Present)
Korea Advanced Institute of Science & Technology, Daejeon, South Korea
Postdoctoral Researcher (Sep 2024 – Jan 2025)
Ewha Womans University, Seoul, South Korea
Postdoctoral Researcher (Sep 2023 – Aug 2024)

Hu, W., Lai, M.J., Lee, J. Optimal Control for Suppression of Singularity in Chemotaxis via Flow Advection. Appl Math Optim 89, 57 (2024) (https://www.youtube.com/watch?v=5tlUpCudy3Y)
Lai, M.-J., Lee, J. Trivariate Spline Collocation Methods for Numerical Solution to 3D Monge-Ampère Equation. J Sci Comput 95, 56 (2023). https://link.springer.com/article/10.1007/s10915-023-02183-9#citeas
Lai, M.-J., Lee, J. A Multivariate Spline based Collocation Method for Numerical Solution of PDEs, SIAM J. Numerical Analysis, vol. 60 (2022) pp. 2405–2434, https://epubs.siam.org/doi/epdf/10.1137/22M1469602

General elliptic second-order equations

Optimal Transport(Monge-Ampère Equation)

Optimal Control Problem

Nonlinear elliptic PDEs

Stokes and Navier-Stokes Equations

2nd Order Elliptic Equation with Cordes Coefficients

Singularly Perturbed PDEs with AI

Instructor, PreCalculus, University of Georgia (Jan 2023-May 2023) : Taught 2 sections with a total student enrollment of 36.
Instructor, Calculus, University of Georgia (Aug 2021-Jan 2023) : Taught 2 sections with a total student enrollment of 36.
Instructor, Precalculus, University of Georgia (Jan 2021-May 2021) : Taught 2 sections with a total student enrollment of 38.
Instructor, Precalculus, University of Georgia (Aug 2019-April 2020) : Taught 3 sections with a total student enrollment of 51.

Tutor, University of Georgia (Aug 2017-Dec 2018, Jan 2022-Jan 2023) : Assisted students with problem-solving in Calculus 1, 2, 3, Differential Equations, and Linear Algebra.

Operator Learning for Singularly Perturbed PDEs using Asymptotic Analysis, Scientific Machine Learning for Differential Equations in Seoul, March 2026
Solving PDEs using numerical methods and extending to operator learning, 2025 KMS Spring Meeting, Apr 2025
A Multivariate Spline-Based Collocation Method for Numerical Solution of PDEs, SIAM Conference on Computational Science and Engineering(CSE23), Feb 2023
A multivariate spline method for the numerical solution of partial differential equations, 2022 KMS Spring Meeting, April 2022
An application of the fixed point theorem to nonlinear fractional differential equations, PNU Math Forum, Dec 2016
Existence of positive solutions for nonlinear fractional differential equations, Asian Mathematical Conference, July 2016

A Multivariate Spline based Collocation Method for Numerical Solution of Partial Differential Equations, Women in Scientific Computing on Complex Physical and Biological Systems, Oct 2022
Spline-based collocation method for numerical solutions for different kinds of PDEs,2021 GEORGIA SCIENTIFIC COMPUTING SYMPOSIUM, Georgia,Feb 2021
An application of the fixed point theorem to nonlinear fractional differential equations, International Conference for the 70th Anniversary of Korean, South Korea, Oct 2016
An application of the fixed point theorem to nonlinear fractional differential equation, 2016 KMS Spring Meeting, South Korea, April 2016

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