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Asymptotic stability of the combination of a viscous contact wave with two rarefaction waves for 1-D Navier-Stokes equations under periodic perturbations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 卷号: 346, 页码: 254-276
作者:  Liu, Lingjun;  Wang, Danli;  Xu, Lingda
收藏  |  浏览/下载：153/0  |  提交时间：2023/02/07
Navier-Stokes equations  Composite wave  Periodic perturbation  
Solutions to a nonlinear Dirac-Maxwell system: from periodic waves to soliton-like waves 期刊论文
NONLINEARITY, 2022, 卷号: 35, 期号: 12, 页码: 6422-6452
作者:  Pan, Chen;  Yanheng, Ding;  Hua-Yang, Wang
收藏  |  浏览/下载：103/0  |  提交时间：2023/02/07
Dirac-Maxwell system  variational methods  periodic solutions  soliton-like solutions  ground states  
Almost Periodic Solutions by the Harmonic Balance Method 期刊论文
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2022, 卷号: 38, 期号: 4, 页码: 943-954
作者:  Chu, Ji-feng;  Zheng, Zuo-huan;  Zhou, Zhe
收藏  |  浏览/下载：97/0  |  提交时间：2023/02/07
almost periodic solution  Harmonic balance method  exponential dichotomy  
Evolution of Controllers Under a Generalized Structure Encoding/Decoding Scheme With Application to Magnetic Levitation System 期刊论文
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2022, 卷号: 69, 期号: 9, 页码: 9655-9666
作者:  Xin, Bin;  Wang, Yipeng;  Xue, Wenchao;  Cai, Tao;  Fan, Zhun;  Zhan, Jiaoyang;  Chen, Jie
收藏  |  浏览/下载：199/0  |  提交时间：2022/06/21
Optimization  Design methodology  Control systems  Tuning  Magnetic levitation  Signal processing  Periodic structures  Automatic design of controllers  disturbance-rejection  intelligent optimization algorithms  magnetic levitation system (MLS)  mixed-variable optimization  
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
作者:  Weng, Weifang;  Qiao, Zhijun;  Yan, Zhenya
收藏  |  浏览/下载：130/0  |  提交时间：2022/04/29
Generalized cubic-quintic CH equation  Well-posedness  Wave breaking  Weak solutions  Non-periodic and periodic peakon solutions  
Analysis of a reaction-diffusion system about West Nile virus with free boundaries in the almost periodic heterogeneous environment 期刊论文
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2022, 卷号: 73, 期号: 2, 页码: 27
作者:  Cheng, Chengcheng;  Zheng, Zuohuan
收藏  |  浏览/下载：164/0  |  提交时间：2022/04/29
Almost periodic  Free boundary  Principal Lyapunov exponent  Spreading-vanishing  Asymptotic spreading speed  
The Cauchy Problem and Multi-peakons for the mCH-Novikov-CH Equation with Quadratic and Cubic Nonlinearities 期刊论文
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2022, 页码: 60
作者:  Qin, Guoquan;  Yan, Zhenya;  Guo, Boling
收藏  |  浏览/下载：154/0  |  提交时间：2022/04/02
mCH-Novikov-CH equation  Wave breaking  Local well-posedness  Holder continuity  Non-periodic and periodic peakon and multi-peakon solutions  
PERIODIC PERTURBATIONS OF A COMPOSITE WAVE OF TWO VISCOUS SHOCKS FOR 1-D FULL COMPRESSIBLE NAVIER-STOKES EQUATIONS 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2022, 卷号: 54, 期号: 3, 页码: 2876-2905
作者:  Yuan, Qian;  Yuan, Yuan
收藏  |  浏览/下载：115/0  |  提交时间：2023/02/07
   compressible Navier--Stokes equations  viscous shock waves  composite waves  periodic perturbations  
Data-driven peakon and periodic peakon solutions and parameter discovery of some nonlinear dispersive equations via deep learning 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2021, 卷号: 428, 页码: 15
作者:  Wang, Li;  Yan, Zhenya
收藏  |  浏览/下载：149/0  |  提交时间：2022/04/02
Nonlinear dispersive equation  Initial-boundary value conditions  Physics-informed neural networks  Deep learning  Data-driven peakon and periodic peakon  solutions Data-driven parameter discovery  
Estimates of eigenvalues and eigenfunctions in elliptic homogenization with rapidly oscillating potentials 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 292, 页码: 388-415
作者:  Zhang, Yiping
收藏  |  浏览/下载：169/0  |  提交时间：2021/10/26
Homogenization  Periodic coefficients  Rapidly oscillating potentials  Convergence rates  Eigenvalues and eigenfunctions