Publications

[15]  Long Phan, Alice Gatti,...Yongki Lee, et al.

Humanity's Last Exam, arXiv:2501.14249, 2025

[14] Yi Hu, Yongki Lee and Shijun Zheng.

Shock formation in traffic flow models with nonlocal look ahead and behind flux, Applied Mathematical Analysis and Computations II, Springer, 2024

[13] Yi Hu, Yongki Lee and Shijun Zheng.

Damped nonlindear Schrödinger equation with Stark effect, NMMP 2022

[12]  Yongki Lee.

An extension of Seliger's wave breaking condition for the nonlocal Whitham type equation, arXiv:2210.13405, 2022

[11]  Yongki Lee.

On the Riccati dynamics of 2D Euler-Poisson equations with attractive forcing, Nonlinearity, 2022

[10] Yongki Lee, Changhui Tan.

A sharp critical threshold for a traffic flow model with look-ahead dynamics, Communications in Mathematical Sciences, 2022

[9] Yongki Lee.

Wave breaking in a class of non-local conservation laws,  Journal of Differential Equations, 2020

[8] Yongki Lee.

Traffic flow models with looking ahead relaxation and behind intensification, Journal of the Korean Mathematical Society, 2020

[7] Yongki Lee.

Thresholds for shock formation in traffic flow models with nonlocal-concave-convex flux,  Journal of Differential Equations, 2019

[6] Yongki Lee. 

Upper-thresholds for shock formation in two-dimensional weakly restricted Euler-Poisson equations, Communications in Mathematical Sciences, 2017

[5] Yongki Lee.

Blow-up conditions for two dimensional modified Euler-Poisson equations, Journal of Differential Equations, 2016

[4] Yongki Lee, Hailiang Liu.

Threshold for shock formation in the hyperbolic Keller-Segel model, Applied Mathematics Letters, 2015

[3] Yongki Lee, Hailiang Liu.

Thresholds for shock formation in traffic flow models with Arrhenius look-ahead dynamics(with Hailiang Liu), Discrete and Continuous Dynamical Systems-Series A, 2015

[2] Yongki Lee, Hailiang Liu.

Thresholds in three-dimensional restricted Euler-Poisson equation,  Physica D: Nonlinear Phenomena, 2013

[1] Threshold dynamics in hyperbolic partial differential equations. Ph.D. Thesis, Iowa State University, 2014