Yifei Wu

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math.AP2023

Non-relativistic limit for the cubic nonlinear Klein-Gordon equations

Zhen Lei, Yifei Wu

We investigate the non-relativistic limit of the Cauchy problem for the defocusing cubic nonlinear Klein-Gordon equations whose initial velocity contains a factor of $c^{2}$ , with $c…

math.AP2023

Instability of the solitary waves for the Generalized Benjamin-Bona-Mahony Equation

Rui Jia, Yifei Wu

In this work, we consider the generalized Benjamin-Bona-Mahony equation $$\partial_t u+\partial_x u+\partial_x( |u|^pu)-\partial_t \partial_x^{2}u=0, \quad(t,x) \in \mathbb{R} \tim…

math.AP2020

Global existences and asymptotic behavior for semilinear heat equation

Avy Soffer, Yifei Wu, Xiaohua Yao

In this paper, we consider the global Cauchy problem for the $L^{2}$ -critical semilinear heat equations $\partial_{t} h = Δ h \pm ∣ h ∣^{\frac{4}{d}} h,$ with $h (0, x) = h_{0}$ , where $h$ is an unkn…