2 citations · 5 across the 10 of their papers we have counts for
12 papers
A sharp threshold for wave breaking in nonlocal Whitham-type equations
Yongki Lee
This paper establishes a sharp, expanded wave-breaking criterion for a class of nonlinear nonlocal Whitham-type equations, significantly generalizing the classical threshold introd…
Blowup rate for rotational NLS with a repulsive potential
Yi Hu, Yongki Lee, Shijun Zheng
In this paper we give an analytical proof of the ``-'' blowup rate for mass-critical nonlinear Schrödinger equation (NLS) with a rotation () and a repulsive ha…
Damped nonlinear Schrödinger equation with Stark effect
Yi Hu, Yongki Lee, Shijun Zheng
We study the -critical damped NLS with a Stark potential. We prove that the threshold for global existence and finite time blowup of this equation is given by , where…
Shock formation in traffic flow models with nonlocal look ahead and behind flux
Yi Hu, Yongki Lee, Shijun Zheng
In this work, we study a Lighthill-Whitham-Richard (LWR) type traffic flow model with a non-local flux. We identify a threshold condition for shock formation for traffic flow model…
An extension of Seliger's wave breaking condition for the nonlocal Whitham type equation
Yongki Lee
We extend the wave breaking condition in Seliger's work [Proc. R. Soc. Lond. Ser. A., 303 (1968)], which has been used widely to prove wave breaking phenomena for nonlinear nonloca…
On the Riccati dynamics of 2D Euler-Poisson equations with attractive forcing
Yongki Lee
The Euler-Poisson (EP) system describes the dynamic behavior of many important physical flows. In this work, a Riccati system that governs two-dimensional EP equations is studied.…
On the Riccati dynamics of the Euler-Poisson equations with zero background state
Yongki Lee
This paper studies the two-dimensional Euler-Poisson equations associated with either attractive or repulsive forces. We mainly study the Riccati system that governs the flow's gra…
Global solutions for the two dimensional Euler-Poisson system with attractive forcing
Yongki Lee
The Euler-Poisson(EP) system describes the dynamic behavior of many important physical flows. In this work, a Riccati system that governs the flow's gradient is studied. The evolut…
A sharp critical threshold for a traffic flow model with look-ahead dynamics
Yongki Lee, Changhui Tan
We study a nonlocal traffic flow model with an Arrhenius type look-ahead interaction. We show a sharp critical threshold condition on the initial data which distinguishes the globa…
Traffic flow models with looking ahead-behind dynamics
Yongki Lee
Motivated by the traffic flow model with Arrhenius look-ahead relaxation dynamics introduced in [A. Sopasakis and M.A. Katsoulakis, SIAM J. Appl. Math., 66 (2006), p. 921--944], th…
Wave breaking in a class of non-local conservation laws
Yongki Lee
For models describing water waves, Constantin and Escher's works have long been considered as the cornerstone method for proving wave breaking phenomena. Their rigorous analytic pr…
Thresholds for shock formation in traffic flow models with Arrhenius look-ahead dynamics
Yongki Lee, Hailiang Liu
We investigate a class of nonlocal conservation laws with the nonlinear advection coupling both local and nonlocal mechanism, which arises in several applications such as the colle…