224 citations · 3.1k across the 103 of their papers we have counts for
5 papers · 1 filter
The dynamics of the NLS with the combined terms in five and higher dimensions
Changxing Miao, Guixiang Xu, Lifeng Zhao
In this paper, we continue the study in \cite{MiaoWZ:NLS:3d Combined} to show the scattering and blow-up result of the solution for the nonlinear Schrödinger equation with the ener…
The dynamics of the 3D radial NLS with the combined terms
Changxing Miao, Guixiang Xu, Lifeng Zhao
In this paper, we show the scattering and blow-up result of the radial solution with the energy below the threshold for the nonlinear Schrödinger equation (NLS) with the combined t…
On the ill-posedness of the compressible Navier-Stokes equations in the critical Besov spaces
Qionglei Chen, Changxing Miao, Zhifei Zhang
We prove the ill-posedness of the 3-D baratropic Navier-Stokes equation for the initial density and velocity belonging to the critical Besov space $(\dot{B}^{\f 3p}_{p,1}+\barρ,\,\…
Global regularity for the supercritical dissipative quasi-geostrophic equation with large dispersive forcing
M. Cannone, C. Miao, L. Xue
We consider the 2D quasi-geostrophic equation with supercritical dissipation and dispersive forcing in the whole space. When the dispersive amplitude parameter is large enough, we…
Dynamics for the focusing, energy-critical nonlinear Hartree equation
Changxing Miao, Yifei Wu, Guixiang Xu
In \cite{LiMZ:e-critical Har, MiaoXZ:09:e-critical radial Har}, the dynamics of the solutions for the focusing energy-critical Hartree equation have been classified when $E(u_0)<E(…