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Global Controllability of the Navier-Stokes Equations in the Presence of Curved Boundary with No-Slip Conditions 期刊论文
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2022, 卷号: 24, 期号: 3, 页码: 32
作者:  Liao, Jiajiang;  Sueur, Franck;  Zhang, Ping
收藏  |  浏览/下载：74/0  |  提交时间：2023/02/07
Axi-symmetric Navier-Stokes equations  Controllability  No-slip Dirichlet boundary condition  Boundary layers  Return method  Multi-scales asymptotic expansion  Well-prepared dissipation method  Long-time nonlinear Cauchy-Kovalevskaya estimates  
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：116/0  |  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  
Long-Time Asymptotics for the Focusing Hirota Equation with Non-Zero Boundary Conditions at Infinity Via the Deift-Zhou Approach 期刊论文
MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2021, 卷号: 24, 期号: 2, 页码: 37
作者:  Chen, Shuyan;  Yan, Zhenya;  Guo, Boling
收藏  |  浏览/下载：169/0  |  提交时间：2021/06/01
Focusing Hirota equation  Non-zero boundary conditions  Inverse scattering  Oscillatory Riemann-Hilbert problem  Nonlinear steepest-descent method  Long-time asymptotics  
An initial-boundary value problem for the general three-component nonlinear Schrodinger equations on a finite interval 期刊论文
IMA JOURNAL OF APPLIED MATHEMATICS, 2021, 卷号: 86, 期号: 3, 页码: 427-489
作者:  Yan, Zhenya
收藏  |  浏览/下载：132/0  |  提交时间：2021/10/26
general three-component nonlinear Schrodinger equations  initial-boundary value problem  inverse scattering  Riemann-Hilbert problem  global relation  Dirichlet and Neumann problems  Gel'fand-Levitan-Marchenko representation  
Observers and Disturbance Rejection Control for a Heat Equation 期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2020, 卷号: 65, 期号: 11, 页码: 4957-4964
作者:  Feng, Hongyinping;  Xu, Cheng-Zhong;  Yao, Peng-Fei
收藏  |  浏览/下载：148/0  |  提交时间：2021/01/14
Mathematical model  Observers  Heating systems  Uncertainty  Feedback control  Closed loop systems  Disturbance rejection control  heat equation  nonlinear boundary condition  observer  stabilization  
The Derivative Nonlinear Schrodinger Equation with Zero/Nonzero Boundary Conditions: Inverse Scattering Transforms andN-Double-Pole Solutions 期刊论文
JOURNAL OF NONLINEAR SCIENCE, 2020, 页码: 39
作者:  Zhang, Guoqiang;  Yan, Zhenya
收藏  |  浏览/下载：162/0  |  提交时间：2020/09/23
Derivative nonlinear Schrodinger equation  Modified Zakharov-Shabat eigenvalue problem  Inverse scattering  Riemann-Hilbert problem  Zero  nonzero boundary conditions  Double-pole solitons and breathers  
ENERGY DECAY AND GLOBAL SMOOTH SOLUTIONS FOR A FREE BOUNDARY FLUID-NONLINEAR ELASTIC STRUCTURE INTERFACE MODEL WITH BOUNDARY DISSIPATION 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2020, 卷号: 40, 期号: 3, 页码: 1555-1593
作者:  Qin, Yizhao;  Guo, Yuxia;  Yao, Peng-Fei
收藏  |  浏览/下载：181/0  |  提交时间：2020/05/24
Fluid-structure interaction  nonlinear elastodynamic systems  boundary dissipation  Navier-Stokes equations  energy decay  global well-posedness  
The higher-order nonlinear Schrodinger equation with non-zero boundary conditions: Robust inverse scattering transform, breathers, and rogons 期刊论文
PHYSICS LETTERS A, 2019, 卷号: 383, 期号: 29, 页码: 11
作者:  Chen, Shuyan;  Yan, Zhenya
收藏  |  浏览/下载：179/0  |  提交时间：2020/01/10
Higher-order nonlinear Schrodinger equation  Non-zero boundary conditions  Riemann-Hilbert problem  Darboux transform  Breathers, rogons  Solitons  
Laplace’s equation with concave and convex boundary nonlinearities on an exterior region 期刊论文
Boundary Value Problems, 2019, 卷号: 2019, 期号: 1
作者:  Mao,Jinxiu;  Zhao,Zengqin;  Qian,Aixia
收藏  |  浏览/下载：123/0  |  提交时间：2019/04/02
Exterior regions  Laplace operator  Concave and convex mixed nonlinear boundary conditions  Fountain theorems  Steklov eigenvalue problems  35J20  35J65  46E22  49R99  
A Multiscale Algorithm for Heat Conduction-Radiation Problems in Porous Materials with Quasi-Periodic Structures 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2018, 卷号: 24, 期号: 1, 页码: 204-233
作者:  Yang, Zhiqiang;  Sun, Yi;  Cui, Junzhi;  Li, Xiao
收藏  |  浏览/下载：160/0  |  提交时间：2019/03/05
Multiscale asymptotic analysis  radiation boundary condition  quasi-periodic structures  nonlinear heat transfer problems