most citedOn the regularity criterion of weak solution for the 3D viscous Magneto-hydrodynamics equations

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math.AP2007212 cited

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…

math.AP200714 cited

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…

math.AP200784 cited

Global well-posedness and scattering for the energy-critical, defocusing Hartree equation for radial data

Changxing Miao, Guixiang Xu, Lifeng Zhao

We consider the defocusing, -critical Hartree equation for the radial data in all dimensions . We show the global well-posedness and scattering results in the…

math.AP200738 cited

On convergence of solutions of fractal Burgers equation toward rarefaction waves

Grzegorz Karch, Changxing Miao, Xiaojing Xu

In the paper, the large time behavior of solutions of the Cauchy problem for the one dimensional fractal Burgers equation with is…

math.AP2007160 cited

The Beale-Kato-Majda criterion to the 3D Magneto-hydrodynamics equations

Qionglei Chen, Changxing Miao, Zhifei Zhang

We study the blow-up criterion of smooth solutions to the 3D MHD equations. By means of the Littlewood-Paley decomposition, we prove a Beale-Kato-Majda type blow-up criterion of sm…