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math.AP2017★ 2 cited
Instability of the standing waves for the nonlinear Klein-Gordon equations in one dimension
Yifei Wu
In this paper, we consider the following nonlinear Klein-Gordon equation \begin{align*} \partial_{tt}u-Δu+u=|u|^{p-1}u,\qquad t\in \mathbb{R},\ x\in \mathbb{R}^d, \end{align*} with…
math.AP2017
Global small solutions to the compressible 2D magnetohydrodynamic system without magnetic diffusion
Jiahong Wu, Yifei Wu
This paper establishes the global existence and uniqueness of smooth solutions to the two-dimensional compressible magnetohydrodynamic system when the initial data is close to an e…