2 papers
math.AP2023
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…
math.AP2023
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…