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Data-driven rogue waves and parameter discovery in the defocusing nonlinear Schrodinger equation with a potential using the PINN deep learning 期刊论文
PHYSICS LETTERS A, 2021, 卷号: 404, 页码: 7
Authors:  Wang, Li;  Yan, Zhenya
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Defocusing NLS equation with the  time-dependent potential  Initial-boundary value conditions  Physics-informed neural networks  Deep learning  Data-driven rogue waves and parameter discovery  
Delayed blow-up by transport noise 期刊论文
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2021, 页码: 32
Authors:  Flandoli, Franco;  Galeati, Lucio;  Luo, Dejun
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Dissipation enhancement  Fisher–  KPP equation  Keller–  Segel equation  Kuramoto–  Sivashinsky equation  scaling limit  transport noise  
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  
ASYMPTOTIC ANALYSIS OF NONLINEAR ROBIN-TYPE BOUNDARY VALUE PROBLEMS WITH SMALL PERIODIC STRUCTURE 期刊论文
MULTISCALE MODELING & SIMULATION, 2021, 卷号: 19, 期号: 2, 页码: 830-845
Authors:  Ye, Changqing;  Cui, Junzhi;  Dong, Hao
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elliptic hemivariational inequality  homogenization  finite element method  error estimates  contact problems  Robin problems  
Two linearized schemes for time fractional nonlinear wave equations with fourth-order derivative 期刊论文
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2020, 页码: 19
Authors:  Huang, Jianfei;  Qiao, Zhi;  Zhang, Jingna;  Arshad, Sadia;  Tang, Yifa
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Fractional nonlinear wave equations  Fourth-order derivative  Linearized schemes  Stability  Convergence  
Uniqueness for nonlinear Fokker-Planck equations and weak uniqueness for McKean-Vlasov SDEs 期刊论文
STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS, 2020, 页码: 12
Authors:  Barbu, Viorel;  Roeckner, Michael
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Fokker-Planck equation  Mild solution  Distributional solution  
Normalized solutions to the fractional Schrodinger equations with combined nonlinearities 期刊论文
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2020, 卷号: 59, 期号: 4, 页码: 35
Authors:  Luo, Haijun;  Zhang, Zhitao
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Gradient estimates for nonlinear diffusion semigroups by coupling methods 期刊论文
SCIENCE CHINA-MATHEMATICS, 2020, 页码: 16
Authors:  Song, Yongsheng
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gradient estimates  coupling methods  G-expectation  nonlinear PDEs  
Piecewise linear approximation for the dynamical Phi(4)(3) model 期刊论文
SCIENCE CHINA-MATHEMATICS, 2020, 卷号: 63, 期号: 2, 页码: 381-410
Authors:  Zhu, Rongchan;  Zhu, Xiangchan
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regularity structure  space-time white noise  stochastic partial differential equations  renormalization  
C-1,C-1 regularity of geodesics in the space of volume forms 期刊论文
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2019, 卷号: 58, 期号: 6, 页码: 7
Authors:  Chu, Jianchun
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