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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…
Universal Upper Bound on The Blowup Rate of Nonlinear Schrödinger Equation with Rotation
Yi Hu, Christopher Leonard, Shijun Zheng
In this paper, we prove a universal upper bound on the blowup rate of a focusing nonlinear Schrödinger equation with an angular momentum under a trapping harmonic potential, assumi…
Local well-posedness of periodic fifth order KdV type equations
Yi Hu, Xiaochun Li
In this paper, the local well-posedness of periodic fifth order dispersive equation with nonlinear term $P_1(u)\p_xu + P_2(u)\p_x u\p_xu $. Here and are polynomia…