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An efficient neural network method with plane wave activation functions for solving Helmholtz equation 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2022, 卷号: 111, 页码: 34-49
作者:  Cui, Tao;  Wang, Ziming;  Xiang, Xueshuang
收藏  |  浏览/下载：67/0  |  提交时间：2023/02/07
Helmholtz equation  Deep learning  Finite difference method  Plane wave method  
Stable dynamics and excitations of single- and double-hump solitons in the Kerr nonlinear media with PT-symmetric HHG potentials 期刊论文
NONLINEAR DYNAMICS, 2022, 页码: 12
作者:  Li, Xin;  Wang, Li;  Zhou, Zijian;  Chen, Yong;  Yan, Zhenya
收藏  |  浏览/下载：137/0  |  提交时间：2022/04/29
Nonlinear Schrodinger equation  PT-symmetric harmonic-hyperbolic-Gaussian potential  Soliton stability  Soliton excitations and collisions  
Liouville type theorem for critical order Henon-Lane-Emden type equations on a half space and its applications 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2021, 卷号: 281, 期号: 10, 页码: 37
作者:  Dai, Wei;  Qin, Guolin
收藏  |  浏览/下载：115/0  |  提交时间：2022/04/02
Critical order  Henon-Lane-Emden type equations  Liouville theorems  A priori estimates  
Yau type gradient estimates for Delta u plus au(log u)(p) + bu=0 on Riemannian manifolds 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 卷号: 498, 期号: 1, 页码: 24
作者:  Peng, Bo;  Wang, Youde;  Wei, Guodong
收藏  |  浏览/下载：150/0  |  提交时间：2021/04/26
Gradient estimate  Ricci curvature  Nonlinear elliptic equation  
Steady vortex patches near a nontrivial irrotational flow 期刊论文
SCIENCE CHINA-MATHEMATICS, 2021, 卷号: 64, 期号: 5, 页码: 947-962
作者:  Cao, Daomin;  Wang, Guodong;  Zhan, Weicheng
收藏  |  浏览/下载：125/0  |  提交时间：2021/10/26
Euler equation  incompressible fluids  vortex patch  variational problem  irrotational flow  
Thermodynamic properties and thermoelastic constitutive relation for cubic crystal structures based on improved free energy 期刊论文
COMPUTATIONAL MECHANICS, 2020, 卷号: 65, 期号: 4, 页码: 989-1003
作者:  Zhang, Jieqiong;  Cui, Junzhi;  Yang, Zihao;  Shen, Shangkun
收藏  |  浏览/下载：141/0  |  提交时间：2020/05/24
Cubic crystal structures  Thermoelastic constitutive relation  Thermodynamic properties  Non-harmonic effect  Thermo-mechanical coupling effect  
Liouville type theorem for higher order Henon equations on a half space 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2019, 卷号: 183, 页码: 284-302
作者:  Dai, Wei;  Qin, Guolin;  Zhang, Yang
收藏  |  浏览/下载：174/0  |  提交时间：2020/01/10
The method of scaling spheres in integral forms  Henon equations  Liouville theorems  Nonnegative solutions  Navier problems  
Laplace’s equation with concave and convex boundary nonlinearities on an exterior region 期刊论文
Boundary Value Problems, 2019, 卷号: 2019, 期号: 1
作者:  Mao,Jinxiu;  Zhao,Zengqin;  Qian,Aixia
收藏  |  浏览/下载：124/0  |  提交时间：2019/04/02
Exterior regions  Laplace operator  Concave and convex mixed nonlinear boundary conditions  Fountain theorems  Steklov eigenvalue problems  35J20  35J65  46E22  49R99  
ON THE INTERIOR REGULARITY CRITERIA OF THE 3-D NAVIER-STOKES EQUATIONS INVOLVING TWO VELOCITY COMPONENTS 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2018, 卷号: 38, 期号: 5, 页码: 2609-2627
作者:  Wang, Wendong;  Zhang, Liqun;  Zhang, Zhifei
收藏  |  浏览/下载：109/0  |  提交时间：2019/12/13
Interior regularity criteria  Navier-Stokes equations  LPS criterion  harmonic function  suitable weak solution  
CP-P Stokes finite element pair on sub-hexahedron tetrahedral grids 期刊论文
CALCOLO, 2017, 卷号: 54, 期号: 4, 页码: 1403-1417
作者:  Zhang, Shangyou;  Zhang, Shuo
浏览  |  Adobe PDF(1589Kb)  |  收藏  |  浏览/下载：502/125  |  提交时间：2018/07/23
Stokes problem  Mixed finite element  Continuous quadratic velocity  Discontinuous pressure  Hexahedral grid  Tetrahedral grid