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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：117/0  |  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：85/0  |  提交时间：2023/02/07
Semiclassical Schr?dinger equation  Quantum density  Quantum momentum  Controllability  Semiclassical limit  
Dinv, area, and bounce for (k)over-right-arrow-Dyck paths 期刊论文
ADVANCES IN APPLIED MATHEMATICS, 2023, 卷号: 143, 页码: 19
作者:  Xin, Guoce;  Zhang, Yingrui
收藏  |  浏览/下载：101/0  |  提交时间：2023/02/07
q, t-Catalan numbers  Sweep map  (k)over-right-arrow-Dyck paths  
Stability of a coefficient inverse problem for the discrete Schrodinger equation and a convergence result 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 卷号: 518, 期号: 1, 页码: 25
作者:  Zhao, Zhongliu;  Zhang, Wensheng
收藏  |  浏览/下载：120/0  |  提交时间：2023/02/07
Inverse problem  Semi-discrete Schr?dinger equation  Discrete Carleman estimate  Convergence  Stability  
On accelerating a multilevel correction adaptive finite element method for Kohn-Sham equation 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2023, 卷号: 472, 页码: 22
作者:  Hu, Guanghui;  Xie, Hehu;  Xu, Fei
收藏  |  浏览/下载：84/0  |  提交时间：2023/02/07
Kohn-Sham equation  Multilevel correction method  Finite element method  Separately handing nonlinear terms  Parallel computing  
Hermite spectral method for multi-species Boltzmann equation 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 471, 页码: 29
作者:  Li, Ruo;  Lu, Yixiao;  Wang, Yanli;  Xu, Haoxuan
收藏  |  浏览/下载：65/0  |  提交时间：2023/02/07
Multi-species Boltzmann equation  Multi-species binary collision operator  Hermite spectral method  
INN: Interfaced neural networks as an accessible meshless approach for solving interface PDE problems 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 470, 页码: 18
作者:  Wu, Sidi;  Lu, Benzhuo
收藏  |  浏览/下载：62/0  |  提交时间：2023/02/07
Interface problems  Multiple-gradient descent  Neural network  PDEs  
Volume preserving flows for convex curves and surfaces in the hyperbolic space 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2022, 卷号: 283, 期号: 11, 页码: 28
作者:  Wei, Yong;  Yang, Bo
收藏  |  浏览/下载：53/0  |  提交时间：2023/02/07
Curvature flow  Hyperbolic space  Curve  Surface  
Central limit theorem and moderate deviation principle for stochastic scalar conservation laws 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 卷号: 516, 期号: 1, 页码: 26
作者:  Wu, Zhengyan;  Zhang, Rangrang
收藏  |  浏览/下载：65/0  |  提交时间：2023/02/07
Stochastic scalar conservation laws  Weak convergence method  Doubling of variables method  Central limit theorem  Moderate deviation principle  Kinetic solution  
A fourth-order unfitted characteristic finite element method for free-boundary problems 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 469, 页码: 19
作者:  Ma, Chuwen;  Zheng, Weiying
收藏  |  浏览/下载：64/0  |  提交时间：2023/02/07
Free-boundary problems  Unfitted characteristic finite element  methods  Convection-diffusion equation  Navier-Stokes equations