224 citations · 3.1k across the 103 of their papers we have counts for
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Nonlinear Schrödinger equation with Coulomb potential
Changxing Miao, Junyong Zhang, Jiqiang Zheng
In this paper, we study the Cauchy problem for the nonlinear Schrödinger equations with Coulomb potential with on $\mathbb{R…
The energy-critical nonlinear wave equation with an inverse-square potential
Changxing Miao, Jason Murphy, Jiqiang Zheng
We study the energy-critical nonlinear wave equation in the presence of an inverse-square potential in dimensions three and four. In the defocusing case, we prove that arbitrary in…
Global well-posedness for the defocusing Hartree equation with radial data in
Changxing Miao, Guixiang Xu, Jianwei Yang
By -method, the interaction Morawetz estimate, long time Strichartz estimate and local smoothing effect of Schrödinger operator, we show global well-posedness and scattering for…
Minimal blow-up initial data in critical Fourier-Herz spaces for potential Navier-Stokes singularities
Jingyue Li, Changxing Miao, Xiaoxin Zheng
In this paper, we mainly prove the existence of the minimal blow-up initial data in critical Fourier-Herz space $F\dot{B}^{2-{\frac3p}}_{p,q}(\RR^3)$ with and $1\le…
Instability of the solitary waves for the generalized derivative nonlinear Schrödinger equation in the degenerate case
Changxing Miao, Xingdong Tang, Guixiang Xu
In this paper, we develop the modulation analysis, the perturbation argument and the Virial identity similar as those in \cite{MartelM:Instab:gKdV} to show the orbital instability…
The global well-posedness and scattering for the D defocusing conformal invariant NLW with radial initial data in a critical Besov space
Changxing Miao, Jianwei Yang, Tengfei Zhao
In this paper, we obtain the global well-posedness and scattering for the radial solution to the defocusing conformal invariant nonlinear wave equation with initial data in the cri…