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Local Well-posedness of the Derivative Schrodinger Equation in Higher Dimension for Any Large Data 期刊论文
CHINESE ANNALS OF MATHEMATICS SERIES B, 2022, 卷号: 43, 期号: 6, 页码: 977-998
作者:  Guo, Boling;  Huo, Zhaohui
收藏  |  浏览/下载：120/0  |  提交时间：2023/02/07
Well-posedness  Derivative Schrodinger equation in higher dimension  Short-time X-s,X-b  Large initial data  
Time decay rate of solutions toward the viscous shock waves to the Cauchy problem for the scalar conservation law with nonlinear viscosity and discontinuous initial data 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2022, 卷号: 222, 页码: 14
作者:  Liu, Yechi
收藏  |  浏览/下载：182/0  |  提交时间：2023/02/07
Viscous conservation law  Asymptotic behavior  Time decay rate  Viscous shock wave  Discontinuous initial data  
GLOBAL EXISTENCE AND LARGE TIME BEHAVIOR OF THE QUANTUM BOLTZMANN EQUATION WITH SMALL RELATIVE ENTROPY 期刊论文
KINETIC AND RELATED MODELS, 2022, 页码: 45
作者:  Wang, Yong;  Xiao, Changguo;  Zhang, Yinghui
收藏  |  浏览/下载：153/0  |  提交时间：2023/02/07
Quantum Boltzmann equation  large amplitude initial data  global existence  fermions  bosons  large time behavior  
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：204/0  |  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  
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
作者:  Wang, Li;  Yan, Zhenya
收藏  |  浏览/下载：201/0  |  提交时间：2021/10/26
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  
Global well-posedness and large-time behavior of 1D compressible Navier-Stokes equations with density-depending viscosity and vacuum in unbounded domains 期刊论文
SCIENCE CHINA-MATHEMATICS, 2021, 卷号: 64, 期号: 6, 页码: 1231-1244
作者:  Li, Kexin;  Lu, Boqiang;  Wang, Yixuan
收藏  |  浏览/下载：179/0  |  提交时间：2021/10/26
1D compressible Navier-Stokes equations  global well-posedness  large initial data  vacuum  density-depending viscosity  
Solutions for nonlinear Fokker-Planck equations with measures as initial data and McKean-Vlasov equations 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2021, 卷号: 280, 期号: 7, 页码: 35
作者:  Barbu, Viorel;  Roeckner, Michael
收藏  |  浏览/下载：212/0  |  提交时间：2021/04/26
Fokker-Planck equation  m-accretive  Measure as initial data  McKean-Vlasov stochastic differential equation  
Spatial propagation in an epidemic model with nonlocal diffusion: The influences of initial data and dispersals 期刊论文
SCIENCE CHINA-MATHEMATICS, 2020, 页码: 30
作者:  Xu, Wen-Bing;  Li, Wan-Tong;  Ruan, Shigui
收藏  |  浏览/下载：200/0  |  提交时间：2021/01/14
nonlocal dispersal  epidemic model  spreading speed  initial data  dispersal kernel  
Global stability of Boltzmann equation with large external potential for a class of large oscillation data 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 卷号: 267, 期号: 6, 页码: 3610-3645
作者:  Wang, Guanfa;  Wang, Yong
收藏  |  浏览/下载：254/0  |  提交时间：2020/01/10
Boltzmann equation  Global well-posedness  Large-amplitude initial data  Large external potential  A priori estimate  
A REMARK ON GLOBAL SOLUTIONS TO RANDOM 3D VORTICITY EQUATIONS FOR SMALL INITIAL DATA 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2019, 卷号: 24, 期号: 8, 页码: 4021-4030
作者:  Roeckner, Michael;  Zhu, Rongchan;  Zhu, Xiangchan
收藏  |  浏览/下载：256/0  |  提交时间：2020/01/10
Stochastic vorticity equations  controlled rough path  small initial data