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Asymptotic anatomy of the Berry phase for scalar waves in two-dimensional periodic continua 期刊论文
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2022, 卷号: 478, 期号: 2262, 页码: 28
作者:  Guzina, Bojan B.;  Oudghiri-Idrissi, Othman;  Meng, Shixu
收藏  |  浏览/下载:73/0  |  提交时间:2023/02/07
Berry phase  asymptotic model  scalar wave equation  Berry phase computation  
Finite Element Error Estimation for Parabolic Optimal Control Problems with Pointwise Observations 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2021, 页码: 35
作者:  Liang, Dongdong;  Gong, Wei;  Xie, Xiaoping
收藏  |  浏览/下载:124/0  |  提交时间:2022/04/02
Parabolic optimal control problem  pointwise observation  space-time finite element method  parabolic PDE with Dirac measure  error estimate  
Generalized linking theorem with applications to nonautonomous Hamiltonian systems and Dirac equations on compact spin manifold 期刊论文
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2021, 卷号: 23, 期号: 06, 页码: 25
作者:  Liu, Yanyan;  Li, Chong;  Li, Shujie
收藏  |  浏览/下载:133/0  |  提交时间:2021/10/26
Strongly indefinite superlinear problem  prescribed number of nontrivial solutions  nonautonomous Hamiltonian systems  Dirac equations on compact spin manifold  
ON MULTIPLICITY OF SEMI-CLASSICAL SOLUTIONS TO NONLINEAR DIRAC EQUATIONS OF SPACE-DIMENSION n 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2021, 卷号: 41, 期号: 9, 页码: 4105-4123
作者:  Ding, Yanheng;  Dong, Xiaojing;  Guo, Qi
收藏  |  浏览/下载:106/0  |  提交时间:2022/04/02
Nonlinear Dirac equation  Semi-classical solutions  Multiplicity  Variational methods  subcritical and critical nonlinearity  
Energy identity and necklessness for alpha-Dirac-harmonic maps into a sphere 期刊论文
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2021, 卷号: 60, 期号: 4, 页码: 19
作者:  Li, Jiayu;  Liu, Lei;  Zhu, Chaona;  Zhu, Miaomiao
收藏  |  浏览/下载:102/0  |  提交时间:2022/04/02
53C43  58E20  
Infinitely many solutions of Dirac equations with concave and convex nonlinearities 期刊论文
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2021, 卷号: 72, 期号: 1, 页码: 17
作者:  Ding, Yanheng;  Dong, Xiaojing
收藏  |  浏览/下载:117/0  |  提交时间:2021/04/26
Dirac equation  Generalized dual fountain theorem  Concave and convex nonlinearities  Non-periodic potential  
POTENTIAL WELL AND MULTIPLICITY OF SOLUTIONS FOR NONLINEAR DIRAC EQUATIONS 期刊论文
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2020, 卷号: 19, 期号: 1, 页码: 587-607
作者:  Chen, Yu;  Ding, Yanheng;  Xu, Tian
收藏  |  浏览/下载:195/0  |  提交时间:2020/01/10
Dirac equations  semi-classical states  multiplicity  
Concentration of mass in the pressureless limit of Euler equations for power law 期刊论文
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2019, 卷号: 47, 页码: 224-235
作者:  Ibrahim, Muhammad;  Liu, Fujun;  Liu, Song
收藏  |  浏览/下载:151/0  |  提交时间:2019/04/02
Riemann solutions  Delta wave  Power law  Zero pressure gas dynamics  Weighted Dirac-measure  Numerical simulations  
矩阵形式二次修正Maxwell-Dirac系统的多尺度算法 期刊论文
计算数学, 2019, 卷号: 41.0, 期号: 004, 页码: 419-439
作者:  付姚姚;  曹礼群
收藏  |  浏览/下载:114/0  |  提交时间:2021/01/14
Maxwell-Dirac系统  二次修正  矩阵形式  多尺度渐近方法  Crank-Nicolson有限差分方法  自适应棱单元方法  
Uniqueness of Axisymmetric Viscous Flows Originating from Positive Linear Combinations of Circular Vortex Filaments 期刊论文
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2018, 卷号: 20, 期号: 4, 页码: 1835-1856
作者:  Levy, Guillaume;  Liu, Yanlin
收藏  |  浏览/下载:138/0  |  提交时间:2019/03/05
Axisymmetric Navier-Stokes  Fluid mechanics  Vortex filaments  35Q30  76D03