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A novel hybrid IGA-EIEQ numerical method for the Allen-Cahn/Cahn-Hilliard equations on complex curved surfaces 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2023, 卷号: 404, 页码: 21
Authors:  Pan, Qing;  Chen, Chong;  Zhang, Yongjie Jessica;  Yang, Xiaofeng
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Loop subdivision  IGA-EIEQ  Decoupled  Unconditional energy stability  Allen-Cahn  Cahn-Hilliard  
Quasilinear Schrodinger equations with bounded coefficients 期刊论文
NONLINEARITY, 2022, 卷号: 35, 期号: 10, 页码: 4939-4985
Authors:  Jing, Yongtao;  Liu, Haidong;  Zhang, Zhitao
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quasilinear Schrodinger equation  variational method  multiple solutions  sign-changing solutions  
ON THE STANDING WAVES FOR THE X-RAY FREE ELECTRON LASER SCHRODINGER EQUATION 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2022, 页码: 41
Authors:  Cao, Daomin;  Feng, Binhua;  Luo, Tingjian
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XFEL Schr?dinger equation  nonlinear elliptic equations  normalized solutions  orbital stability  strong instability  
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
Authors:  Zhang, Qianru;  Wang, Qin;  Zhang, Linbo;  Lu, Benzhuo
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Three-dimensional drift -diffusion model  Averaging technique  Finite element method  Semiconductor device  
Vortex patch problem for steady lake equation 期刊论文
JOURNAL OF MATHEMATICAL PHYSICS, 2022, 卷号: 63, 期号: 6, 页码: 25
Authors:  Cao, Daomin;  Qin, Guolin;  Zou, Changjun
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A Nitsche Hybrid Multiscale Method with Non-matching Grids 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 91, 期号: 2, 页码: 28
Authors:  Ming, Pingbing;  Song, Siqi
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Multiscale PDE  Hybrid method  Nitsche variational formulation  Non-matching grid  
Properties of the least action level, bifurcation phenomena and the existence of normalized solutions for a family of semi-linear elliptic equations without the hypothesis of autonomy 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 卷号: 315, 页码: 179-199
Authors:  Song, Linjie
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Bifurcation  Normalized solutions  Nehari manifold  Pohozaev identity  
GRADIENT ESTIMATES AND LIOUVILLE THEOREMS FOR LICHNEROWICZ EQUATIONS 期刊论文
PACIFIC JOURNAL OF MATHEMATICS, 2022, 卷号: 317, 期号: 2, 页码: 363-386
Authors:  Huang, Pingliang;  Wang, Youde
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gradient estimate  Ricci curvature  Liouville theorem  Harnack inequality  nonlinear elliptic equations  
Nonlinear elliptic equations on the upper half space 期刊论文
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2022, 卷号: 24, 期号: 01, 页码: 20
Authors:  Tang, Sufang;  Wang, Lei;  Zhu, Meijun
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Curvature equation  Kelvin transform  moving plane method  moving sphere method  
On desingularization of steady vortex for the lake equations 期刊论文
IMA JOURNAL OF APPLIED MATHEMATICS, 2022, 卷号: 87, 期号: 1, 页码: 50-79
Authors:  Cao, Daomin;  Zhan, Weicheng;  Zou, Changjun
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steady vortex solutions  elliptic equations  variational method  desingularization  maximizer