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- Institute of Theoretical PhysicsCN32 papers
- Chinese Academy of SciencesCN28 papers
- Institute of High Energy PhysicsCN16 papers
- State Key Laboratory of Nuclear Physics and Technology16 papers
- The University of OsakaJP13 papers
- University of Science and Technology of ChinaCN13 papers
- China Center of Advanced Science and TechnologyCN12 papers
- Institute for High Energy PhysicsES11 papers
- Centre National de la Recherche ScientifiqueFR10 papers
- Tsinghua UniversityCN10 papers
- Université Paris-SudFR10 papers
- University of Illinois Urbana-ChampaignUS10 papers
6 papers · 1 filter
Sharp Well-posedness for the Benjamin Equation
Wengu Chen, Zihua Guo, Jie Xiao
Having the ill-posedness in the range of the Cauchy problem for the Benjamin equation with an initial data, we prove that the already-established loca…
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,…
Decay estimates for a class of wave equations
Zihua Guo, Lizhong Peng, Baoxiang Wang
In this paper we use a unified way studying the decay estimate for a class of dispersive semigroup given by , where is smooth aw…
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…