2 citations · 5 across the 6 of their papers we have counts for
7 papers
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 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…