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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:60/0  |  提交时间:2023/02/07
Anisotropic Navier-Stokes equations  Littlewood-Paley theory  Large time behavior  

Maximal L-p-L-q regularity for two-phase fluid motion in the linearized Oberbeck-Boussinesq approximation

期刊论文

JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 卷号: 322, 页码: 101-134
作者:  Hao, Chengchun;  Zhang, Wei
收藏  |  浏览/下载:69/0  |  提交时间:2023/02/07
Oberbeck-Boussinesq approximation  Free boundary problem  

Maximal L-p-L-q regularity

  Resolvent estimate  
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  
Estimates of eigenvalues and eigenfunctions in elliptic homogenization with rapidly oscillating potentials 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 292, 页码: 388-415
作者:  Zhang, Yiping
收藏  |  浏览/下载:141/0  |  提交时间:2021/10/26
Homogenization  Periodic coefficients  Rapidly oscillating potentials  Convergence rates  Eigenvalues and eigenfunctions  
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:145/0  |  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  
Deterministic and stochastic 2D Navier-Stokes equations with anisotropic viscosity 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 275, 页码: 473-508
作者:  Liang, Siyu;  Zhang, Ping;  Zhu, Rongchan
收藏  |  浏览/下载:121/0  |  提交时间:2021/04/26
Zero-viscosity limit of the incompressible Navier-Stokes equations with sharp vorticity gradient 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 卷号: 268, 期号: 10, 页码: 5855-5891
作者:  Liao, Jiajiang;  Sueur, Franck;  Zhang, Ping
收藏  |  浏览/下载:137/0  |  提交时间:2020/05/24