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VPNets: Volume-preserving neural networks for learning source-free dynamics 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 卷号: 416, 页码: 12
Authors:  Zhu, Aiqing;  Zhu, Beibei;  Zhang, Jiawei;  Tang, Yifa;  Liu, Jian
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Deep learning  Neural networks  Discovery of dynamics  Source-free dynamics  Volume-preserving  
Dynamics of 1D and 3D quantum droplets in parity-time-symmetric harmonic-Gaussian potentials with two competing nonlinearities 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2022, 卷号: 442, 页码: 15
Authors:  Song, Jin;  Yan, Zhenya
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Amended Gross-Pitaevskii equations  PT -symmetric potential  Quantum droplets  Stable solitons  Soliton interactions and excitations  
On the Negative Limit of Viscosity Solutions for Discounted Hamilton-Jacobi Equations 期刊论文
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2022, 页码: 19
Authors:  Wang, Ya-Nan;  Yan, Jun;  Zhang, Jianlu
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Discounted Hamilton-Jacobi equation  Viscosity solution  Conjugated weak KAM solutions  Aubry Mather sets  Mane's genericity  
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  
HOLDER CONTINUITY OF SOLUTIONS FOR A CLASS OF DRIFT-DIFFUSION EQUATIONS 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2022, 页码: 29
Authors:  Nguyen, Quoc-Hung;  Sire, Yannick;  Truong, Le Xuan
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Drift-diffusion equations  dissipative SQG  regularity  De Giorgi method  
Towards a theoretical foundation of PID control for uncertain nonlinear systems 期刊论文
AUTOMATICA, 2022, 卷号: 142, 页码: 12
Authors:  Zhao, Cheng;  Guo, Lei
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PID control  Uncertain nonlinear systems  Non-affine systems  Global stabilization  Asymptotic regulation  
Dynamics on the number of prime divisors for additive arithmetic semigroups 期刊论文
FINITE FIELDS AND THEIR APPLICATIONS, 2022, 卷号: 81, 页码: 28
Authors:  Wang, Biao
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Prime Number Theorem  Liouville function  Largest prime factors  Uniquely ergodic  Uniform distribution  
Contact-PIC numerical methods for simulating Vlasov-Poisson-Fokker-Planck problem 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 459, 页码: 24
Authors:  Shi, Yanyan;  Sun, Yajuan
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Vlasov-Poisson-Fokker-Planck system  Particle-in-cell technique  Contact method  
STOCHASTIC DIFFERENTIAL EQUATION WITH PIECEWISE CONTINUOUS ARGUMENTS: MARKOV PROPERTY, INVARIANT MEASURE AND NUMERICAL APPROXIMATION 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2022, 页码: 43
Authors:  Chen, Chuchu;  Hong, Jialin;  Lu, Yulan
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   Invariant measure  Markov chain  weak convergence  backward Euler method  stochastic differential equations with piecewise continuous arguments  
Wave-breaking analysis and weak multi-peakon solutions for a generalized cubic-quintic Camassa-Holm type equation 期刊论文
MONATSHEFTE FUR MATHEMATIK, 2022, 页码: 47
Authors:  Weng, Weifang;  Qiao, Zhijun;  Yan, Zhenya
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Generalized cubic-quintic CH equation  Well-posedness  Wave breaking  Weak solutions  Non-periodic and periodic peakon solutions