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Asymptotic stability of the combination of a viscous contact wave with two rarefaction waves for 1-D Navier-Stokes equations under periodic perturbations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 卷号: 346, 页码: 254-276
作者:  Liu, Lingjun;  Wang, Danli;  Xu, Lingda
收藏  |  浏览/下载：118/0  |  提交时间：2023/02/07
Navier-Stokes equations  Composite wave  Periodic perturbation  
On the global approximate controllability in small time of semiclassical 1-D Schrodinger equations between two states with positive quantum densities 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 卷号: 345, 页码: 1-44
作者:  Coron, Jean-Michel;  Xiang, Shengquan;  Zhang, Ping
收藏  |  浏览/下载：87/0  |  提交时间：2023/02/07
Semiclassical Schr?dinger equation  Quantum density  Quantum momentum  Controllability  Semiclassical limit  
Enhanced dissipation for the third component of 3D anisotropic Navier-Stokes equations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 卷号: 335, 页码: 464-496
作者:  Xu, Li;  Zhang, Ping
收藏  |  浏览/下载：59/0  |  提交时间：2023/02/07
Anisotropic Navier-Stokes equations  Littlewood-Paley theory  Large time behavior  
On the initial-boundary value problem for the three-dimensional compressible viscoelastic fluids with the electrostatic effect 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 卷号: 316, 页码: 425-470
作者:  Wang, Yong;  Shen, Rong;  Wu, Wenpei;  Zhang, Changjuan
收藏  |  浏览/下载：49/0  |  提交时间：2023/02/07
Viscoelastic fluids  Initial-boundary value problems  Electrostatic effects  Exponential decay rates  
On the instability of the possible blow-up solutions to 2D Boussinesq system 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 卷号: 306, 页码: 547-568
作者:  Shao, Ruijie;  Zhang, Ping
收藏  |  浏览/下载：122/0  |  提交时间：2022/04/02
2D Boussinesq system  WKB method  Instability  Semi-classical pseudo-differential operator  
Well-posedness for the linearized free boundary problem of incompressible ideal magnetohydrodynamics equations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 299, 页码: 542-601
作者:  Hao, Chengchun;  Luo, Tao
收藏  |  浏览/下载：152/0  |  提交时间：2021/10/26
Incompressible ideal magnetohydrodynamics equations  Linearized equations  Free boundary problem  Local well-posedness  
Global small analytic solutions of MHD boundary layer equations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 281, 页码: 199-257
作者:  Liu, Ning;  Zhang, Ping
收藏  |  浏览/下载：144/0  |  提交时间：2021/04/26
MHD Prandtl system  Littlewood-Paley theory  Analytic energy estimate  
Stability of steady-state for 3-D hydrodynamic model of unipolar semiconductor with Ohmic contact boundary in hollow ball 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 277, 页码: 57-113
作者:  Mei, Ming;  Wu, Xiaochun;  Zhang, Yongqian
收藏  |  浏览/下载：117/0  |  提交时间：2021/04/26
3-Dimensional hydrodynamic model  Euler-Poisson equations  Subsonic steady-state  Asymptotic stability  Radial solutions  Weighted Sobolev spaces  
Standing waves with prescribed mass for the Schrodinger equations with van der Waals type potentials 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 276, 页码: 228-263
作者:  Cao, Daomin;  Jia, Huifang;  Luo, Xiao
收藏  |  浏览/下载：167/0  |  提交时间：2021/04/26
Schrodinger equation  vander Waals type potentials  Normalized solutions  Stability  Variational methods  
The continuity equation of almost Hermitian metrics 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 274, 页码: 1015-1036
作者:  Li, Chang;  Zheng, Tao
收藏  |  浏览/下载：116/0  |  提交时间：2021/04/26
Continuity equation  Almost Hermitian metric  Maximal time existence  Chern-Ricci form  Chern scalar curvature