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HOLDER CONTINUITY OF SOLUTIONS FOR A CLASS OF DRIFT-DIFFUSION EQUATIONS 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2022, 页码: 29
作者:  Nguyen, Quoc-Hung;  Sire, Yannick;  Truong, Le Xuan
收藏  |  浏览/下载:59/0  |  提交时间:2023/02/07
Drift-diffusion equations  dissipative SQG  regularity  De Giorgi method  
Optimal Holder continuity and hitting probabilities for SPDEs with rough fractional noises 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 卷号: 512, 期号: 1, 页码: 21
作者:  Hong, Jialin;  Liu, Zhihui;  Sheng, Derui
收藏  |  浏览/下载:60/0  |  提交时间:2023/02/07
Stochastic partial differential equation  Fractional Brownian sheet  Hurst index H < 1/2  Holder exponent  Hitting probability  
A class of finite element methods with averaging techniques for solving the three-dimensional drift-diffusion model in semiconductor device simulations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 458, 页码: 24
作者:  Zhang, Qianru;  Wang, Qin;  Zhang, Linbo;  Lu, Benzhuo
收藏  |  浏览/下载:57/0  |  提交时间:2023/02/07
Three-dimensional drift -diffusion model  Averaging technique  Finite element method  Semiconductor device  
A fast Euler-Maruyama method for fractional stochastic differential equations 期刊论文
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2022, 页码: 19
作者:  Zhang, Jingna;  Tang, Yifa;  Huang, Jianfei
收藏  |  浏览/下载:62/0  |  提交时间:2023/02/07
Fractional stochastic differential equations  Euler-Maruyama method  Sum-of-exponentials approximation  Strong convergence  Computational efficiency  
A Fully Divergence-Free Finite Element Scheme for Stationary Inductionless Magnetohydrodynamic Equations 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 90, 期号: 2, 页码: 30
作者:  Zhang, Xiaodi;  Wang, Xiaorong
收藏  |  浏览/下载:108/0  |  提交时间:2022/04/02
Mixed finite element method  Divergence-free  Inductionless MHD equations  Conservation of charge and mass  
The Cauchy Problem and Multi-peakons for the mCH-Novikov-CH Equation with Quadratic and Cubic Nonlinearities 期刊论文
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2022, 页码: 60
作者:  Qin, Guoquan;  Yan, Zhenya;  Guo, Boling
收藏  |  浏览/下载:122/0  |  提交时间:2022/04/02
mCH-Novikov-CH equation  Wave breaking  Local well-posedness  Holder continuity  Non-periodic and periodic peakon and multi-peakon solutions  
The energy-preserving time high-order AVF compact finite difference scheme for nonlinear wave equations in two dimensions 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2021, 卷号: 170, 页码: 298-320
作者:  Hou, Baohui;  Liang, Dong
收藏  |  浏览/下载:115/0  |  提交时间:2022/04/02
AVF method  CFD operator  Time high-order  Energy conservation  Convergence  Nonlinear wave equations  
On the regularity of the maximal function of a BV function 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 300, 页码: 53-79
作者:  Lahti, Panu
收藏  |  浏览/下载:100/0  |  提交时间:2022/04/02
Function of bounded variation  Sobolev function  Non-centered maximal function  Quasicontinuity  Absolute continuity  
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  
SHARP REGULARITY ESTIMATES FOR SOLUTIONS OF THE CONTINUITY EQUATION DRIFTED BY SOBOLEV VECTOR FIELDS 期刊论文
ANALYSIS & PDE, 2021, 卷号: 14, 期号: 8, 页码: 2539-2559
作者:  Brue, Elia;  Quoc-Hung Nguyen
收藏  |  浏览/下载:112/0  |  提交时间:2022/04/02
ordinary differential equations with nonsmooth vector fields  continuity equation  transport equation  regular Lagrangian flow  BV function  log-Sobolev space  Bressan's mixing conjecture