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Nonlinear Stability of Planar Vortex Patches in an Ideal Fluid 期刊论文
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2021, 卷号: 23, 期号: 3, 页码: 16
Authors:  Cao, Daomin;  Wang, Guodong
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Euler equations  vortex patch  nonlinear stability  Kirchhoff-Routh function  
ON THE STABILITY OF TWO-DIMENSIONAL NONISENTROPIC ELASTIC VORTEX SHEETS 期刊论文
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021, 卷号: 20, 期号: 7-8, 页码: 2519-2533
Authors:  Chen, Robin ming;  Huang, F. E. I. M. I. N.;  Wang, D. E. H. U. A.;  Yuan, D. I. F. A. N.
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Vortex sheets  Elastodynamics  contact discontinuities  stability  
Implicit function based adaptive control of non-canonical form discrete-time nonlinear systems 期刊论文
AUTOMATICA, 2021, 卷号: 129, 页码: 13
Authors:  Zhang, Yanjun;  Zhang, Ji-Feng;  Liu, Xiao-Kang
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Adaptive control  Implicit function  Non-canonical form  Parametrization  Output tracking  
A New Exponential Compact Scheme for the Two-Dimensional Unsteady Nonlinear Burgers' and Navier-Stokes Equations in Polar Cylindrical Coordinates 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2021, 卷号: 14, 期号: 2, 页码: 488-507
Authors:  Mohanty, R. K.;  Yuan, Li;  Sharma, Divya
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Half-step discretization  compact scheme in exponential form  two-level implicit scheme  Burgers' equation  Navier-Stokes equations of motion  Taylor-vortex problem  
A linearized ADI scheme for two-dimensional time-space fractional nonlinear vibration equations 期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2021, 页码: 15
Authors:  Zhang, Jingna;  Huang, Jianfei;  Aleroev, Temirkhan S.;  Tang, Yifa
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Time-space fractional nonlinear vibration equations  two dimensions  linearized ADI scheme  stability  convergence  
Normalized solutions to the Chern-Simons-Schrodinger system 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2021, 卷号: 280, 期号: 5, 页码: 65
Authors:  Gou, Tianxiang;  Zhang, Zhitao
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Chern-Simons-Schrodinger system  Normalized solutions  Standing waves  Orbital instability  
A Nodal Finite Element Method for a Thermally Coupled Eddy-Current Problem with Moving Conductors 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021, 卷号: 29, 期号: 3, 页码: 767-801
Authors:  Wang, Zezhong;  Hu, Qiya
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Thermally coupled eddy-current problem  finite element method  time step-length iteration  Picard iteration  optimal error estimates  preconditioner  
Rotating vortex patches for the planar Euler equations in a disk 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 275, 页码: 509-532
Authors:  Cao, Daomin;  Wan, Jie;  Wang, Guodong;  Zhan, Weicheng
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Vortex patch  Euler equations  Variational analysis  Nonlinear orbital stability  
Neural Network-Based Model-Free Learning Approach for Approximate Optimal Control of Nonlinear Systems 期刊论文
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2021, 卷号: E104A, 期号: 2, 页码: 532-541
Authors:  Xu, Zhenhui;  Shen, Tielong;  Cheng, Daizhan
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infinite-time horizon  approximate optimal control design  completely model-free  neural network  
A numerical method for two-dimensional multi-term time-space fractional nonlinear diffusion-wave equations 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2021, 卷号: 159, 页码: 159-173
Authors:  Huang, Jianfei;  Zhang, Jingna;  Arshad, Sadia;  Tang, Yifa
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Multi-term time-space derivatives  Fractional nonlinear diffusion-wave equations  Finite difference schemes  Stability  Convergence  Fast ADI scheme