Preprint & Submitted
Choi, W., and Lee, M.-S. "Convergence property of the Quantized Distributed Gradient descent with constant stepsizes and an effective strategy for the stepsize selection"
Hwang, B.-H., and Lee, M.-S. "Stationary solution to the boundary value problem of relativistic BGK model for gas mixtures in a slab"
Cho, S.-Y., Hwang, B.-H., Lee, M.-S., and Yun, S.-B. "Relativistic BGK model for reactive gas mixtures"
Lee, D.-C., Lee, K., Oh, J., Lee, M.-S., Hong, Y., and Park, S. "Physics-Informed Neural Networks for the Fully Coupled Electrochemical-Thermal P2D Model of Lithium-Ion Batteries"
Lee, M.-S., Park. D, and Hong, Y. "Least squares objectives in Deep Learning Optimization via Restricted Strong Convexity"
Bae, H.-O., Cho, S.-Y, and Lee, M.-S. "Comparative study on the lid-driven cavity flow using Physics-informed Neural Networks"
Ko, G., Son, S.-J., Cho, S.-Y., and Lee, M.-S. "A Theory-guided Weighted $L^2$ Loss for solving the BGK model via Physics-informed neural networks"
Publications
Lee, M.-S., Yun, T., Hong, Y., and Kim, N. "Spectral coefficient learning via operator networks for inverse problems of parametric partial differential equations"
Engineering Applications of Artificial Intelligence, 166(B) 113665 (2026)
Choi, W., Lee, M.-S., and Yun, S.-B. “Inexact online proximal mirror descent for time-varying composite optimizations”
Optimization, 1–22 (2025)
Lee, M.-S., Oh, J., Lee, D.-C., Lee, K., Park, S., and Hong, Y. “Forward and Inverse Simulation of Pseudo-Two-Dimensional Model of Lithium-Ion Batteries Using Neural Networks”
Computer Methods in Applied Mechanics and Engineering 438(B), 117856 (2025)
Brull, S., Kim, D., Lee, M.-S., and Yun, S.-B. "Stationary Mixture BGK Models with the Correct Fick Coefficients"
Journal of Statistical Physics 191, 69 (2024)
Hwang, B.-H., Lee, M.-S., and Yun, S.-B. “Relativistic BGK model for gas mixture”
Journal of Statistical Physics 191, 59 (2024)
Kim, D., Lee, M.-S., and Yun, S.-B. “Entropy production estimate for the ES-BGK model with the correct Prandtl number.”
Journal of Mathematical Analysis and Applications 514.2 (2022)
Kim, D., Lee, M.-S., and Yun, S.-B. “Stationary BGK models for chemically reacting gas in a slab”
Journal of Statistical Physics 184.2 (2021)
Kim, D., Lee, M.-S., and Yun, S.-B. “On the positivity of an auxiliary function of the BGK model for slow chemical reactions”
Applied Mathematics Letters 113 (2021)
In preparation
Ko, G., Lee, M.-S., and Son, S.-J. "Global well-posedness for the multi-species Boltzmann equation with large amplitude initial data"
Jeong, H.-W., Kim, D., Lee, M.-S., and Yun, S.-B. "Incompressible Euler limit of the polyatomic ellipsoidal statistical BGK model"
Ko, G., Son, S.-J., and Lee, M.-S. "Why Conservation Constraints Improve PINNs for Linearized Kinetic Equations"