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math.AP2020
Multi-soliton dynamics in the nonlinear Schrödinger equation
Daomin Cao, Qing Guo, Changjun Zou
In this paper, we study the Cauchy problem of the nonlinear Schrödinger equation with a nontrival potential . In particular, we consider the case where the initia…
math.AP2020
Local uniqueness of vortices for 2D steady Euler flow in a bounded domain
Daomin Cao, Weilin Yu, Changjun Zou
We study the 2D Euler equation in a bounded simply-connected domain, and establish the local uniqueness of flow whose stream function satisfies \begin{equation*} \b…