224 citations · 3.1k across the 103 of their papers we have counts for
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On the regularity criterion of weak solution for the 3D viscous Magneto-hydrodynamics equations
Qionglei Chen, Changxing Miao, Zhifei Zhang
We improve and extend some known regularity criterion of weak solution for the 3D viscous Magneto-hydrodynamics equations by means of the Fourier localization technique and Bony's…
Low regularity solutions of two fifth-order KdV type equations
Wengu Chen, Junfeng Li, Changxing Miao +1
The Kawahara and modified Kawahara equations are fifth-order KdV type equations and have been derived to model many physical phenomena such as gravity-capillary waves and magneto-s…
On the low regularity of the fifth order Kadomtsev-Petviashvili I equation
Wengu Chen, Junfeng Li, Changxing Miao
We consider the fifth order Kadomtsev-Petviashvili I (KP-I) equation as while . We…
On the blow up phenomenon for the -critical focusing Hartree equation in
Changxing Miao, Guixiang Xu, Lifeng Zhao
We characterize the dynamics of the finite time blow up solutions with minimal mass for the focusing mass critical Hartree equation with data and $L^2(\mathbb{R…
On the well-posedness for the Ideal MHD equations in the Triebel-Lizorkin spaces
Qionglei Chen, Changxing Miao, Zhifei Zhang
In this paper, we prove the local well-posedness for the Ideal MHD equations in the Triebel-Lizorkin spaces and obtain blow-up criterion of smooth solutions. Specially, we fill a g…
Global well-posedness and scattering for the energy-critical, defocusing Hartree equation in
Changxing Miao, Guixiang Xu, Lifeng Zhao
Using the same induction on energy argument in both frequency space and spatial space simultaneously as in \cite{CKSTT07}, \cite{RyV05} and \cite{Vi05}, we obtain global well-posed…