212 citations · 372 across the 4 of their papers we have counts for
4 papers
Orbital stability of traveling waves for the one-dimensional Gross-Pitaevskii equation
Patrick Gerard, Zhifei Zhang
In this paper, we prove the nonlinear orbital stability of the stationary traveling wave of the one-dimensional Gross-Pitaevskii equation by using Zakharov-Shabat's inverse scatter…
Well-posedness of the water-wave problem with surface tension
Mei Ming, Zhifei Zhang
In this paper, we prove the local well-posedness of the water wave problem with surface tension in the case of finite depth by working in the Eulerian setting. For the flat bottom,…
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…
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…