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Normalized solutions of mass subcritical Schrodinger equations in exterior domains 期刊论文
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2022, 卷号: 29, 期号: 3, 页码: 25
作者:  Zhang, Zexin;  Zhang, Zhitao
收藏  |  浏览/下载:110/0  |  提交时间:2022/04/29
Normalized solution  Critical point  Minimax theorem  Schrodinger equation  Exterior domain  
Global well-posedness and large-time behavior of 1D compressible Navier-Stokes equations with density-depending viscosity and vacuum in unbounded domains 期刊论文
SCIENCE CHINA-MATHEMATICS, 2021, 卷号: 64, 期号: 6, 页码: 1231-1244
作者:  Li, Kexin;  Lu, Boqiang;  Wang, Yixuan
收藏  |  浏览/下载:115/0  |  提交时间:2021/10/26
1D compressible Navier-Stokes equations  global well-posedness  large initial data  vacuum  density-depending viscosity  
Analysis of the Fourier series Dirichlet-to-Neumann boundary condition of the Helmholtz equation and its application to finite element methods 期刊论文
NUMERISCHE MATHEMATIK, 2021, 页码: 30
作者:  Xu, Liwei;  Yin, Tao
收藏  |  浏览/下载:147/0  |  提交时间:2021/04/26
35J25  65N30  74F10  
Global Well-Posedness and Exponential Stability of 3D Navier-Stokes Equations with Density-Dependent Viscosity and Vacuum in Unbounded Domains 期刊论文
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2021, 页码: 27
作者:  He, Cheng;  Li, Jing;  Lu, Boqiang
收藏  |  浏览/下载:183/0  |  提交时间:2021/04/26
Maximum principles and the method of moving planes for the uniformly elliptic nonlocal Bellman operator and applications 期刊论文
ANNALI DI MATEMATICA PURA ED APPLICATA, 2020, 页码: 50
作者:  Dai, Wei;  Qin, Guolin
收藏  |  浏览/下载:161/0  |  提交时间:2020/09/23
Uniformly elliptic nonlocal Bellman operator  Uniformly elliptic nonlocal Monge-Ampere operator  Maximum principles  Method of moving planes  Monotonicity  symmetry and uniqueness  Asymptotic properties  
Direct Methods for Pseudo-relativistic Schrodinger Operators 期刊论文
JOURNAL OF GEOMETRIC ANALYSIS, 2020, 页码: 64
作者:  Dai, Wei;  Qin, Guolin;  Wu, Dan
收藏  |  浏览/下载:138/0  |  提交时间:2020/09/23
Pseudo-relativistic Schrodinger operators  Epigraph  3D boson star equations  Direct methods of moving planes  Direct sliding methods  
RATIONAL SPECTRAL METHODS FOR PDEs INVOLVING FRACTIONAL LAPLACIAN IN UNBOUNDED DOMAINS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2020, 卷号: 42, 期号: 2, 页码: A585-A611
作者:  Tang, Tao;  Wang, Li-Lian;  Yuan, Huifang;  Zhou, Tao
收藏  |  浏览/下载:148/0  |  提交时间:2020/09/23
fractional Laplacian  Gegenbauer polynomials  modified rational functions  unbounded domains  Fourier transforms  spectral methods  
Effects of Soft Interaction and Non-isothermal Boundary Upon Long-Time Dynamics of Rarefied Gas 期刊论文
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2019, 卷号: 234, 期号: 2, 页码: 925-1006
作者:  Duan, Renjun;  Huang, Feimin;  Wang, Yong;  Zhang, Zhu
收藏  |  浏览/下载:360/0  |  提交时间:2020/01/10
COUPLING METHOD OF PLANE WAVE DG AND BOUNDARY ELEMENT FOR ELECTROMAGNETIC SCATTERING 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2019, 卷号: 16, 期号: 4, 页码: 609-625
作者:  Hu, Qiya;  Guo, Xingyue;  Liu, Yang;  Zhou, Haijing
收藏  |  浏览/下载:163/0  |  提交时间:2020/01/10
Maxwell's equations  plane wave DG method  boundary element method  coupling variational problem  
Hermite Spectral Collocation Methods for Fractional PDEs in Unbounded Domains 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2018, 卷号: 24, 期号: 4, 页码: 1143-1168
作者:  Tang, Tao;  Yuan, Huifang;  Zhou, Tao
收藏  |  浏览/下载:131/0  |  提交时间:2019/03/05
Fractional PDEs  Hermite polynomials/functions  unbounded domain  spectral collocation methods