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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：82/0  |  提交时间：2023/02/07
Viscous conservation law  Asymptotic behavior  Time decay rate  Viscous shock wave  Discontinuous initial data  
Decay properties for a density-dependent liquid crystal system 期刊论文
JOURNAL OF MATHEMATICAL PHYSICS, 2022, 卷号: 63, 期号: 9, 页码: 24
作者:  Han, Pigong;  Lei, Keke;  Liu, Chenggang;  Wang, Xuewen
收藏  |  浏览/下载：28/0  |  提交时间：2023/02/07
A structure-preserving finite element discretization for the time-dependent Nernst-Planck equation 期刊论文
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2021, 页码: 20
作者:  Zhang, Qianru;  Tu, Bin;  Fang, Qiaojun;  Lu, Benzhuo
收藏  |  浏览/下载：123/0  |  提交时间：2021/10/26
Structure-preserving finite element discretization  Nernst-Planck equation  Scharfetter-Gummel approximation  Jordan-Kinderlehrer-Otto scheme  
Global small analytic solutions of MHD boundary layer equations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 281, 页码: 199-257
作者:  Liu, Ning;  Zhang, Ping
收藏  |  浏览/下载：142/0  |  提交时间：2021/04/26
MHD Prandtl system  Littlewood-Paley theory  Analytic energy estimate  
Global Existence and the Decay of Solutions to the Prandtl System with Small Analytic Data 期刊论文
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2021, 页码: 44
作者:  Paicu, Marius;  Zhang, Ping
收藏  |  浏览/下载：146/0  |  提交时间：2021/06/01
Exponential Stabilization of the Wave Equation on Hyperbolic Spaces with Nonlinear Locally Distributed Damping 期刊论文
APPLIED MATHEMATICS AND OPTIMIZATION, 2021, 页码: 13
作者:  Wang, Jiacheng;  Ning, Zhen-Hu;  Yang, Fengyan
收藏  |  浏览/下载：132/0  |  提交时间：2021/04/26
Wave equation  Stabilization  Hyperbolic spaces  Nonlinear locally distributed damping  
Decay for turbulent solutions of the magneto-hydrodynamic equations in an exterior domain 期刊论文
JOURNAL OF MATHEMATICAL PHYSICS, 2020, 卷号: 61, 期号: 9, 页码: 20
作者:  Liu, Zhaoxia;  Han, Pigong
收藏  |  浏览/下载：134/0  |  提交时间：2021/01/14
Energy decay and global solutions for a damped free boundary fluid-elastic structure interface model with variable coefficients in elasticity 期刊论文
APPLICABLE ANALYSIS, 2020, 卷号: 99, 期号: 11, 页码: 1953-1971
作者:  Qin, Yizhao;  Yao, Peng-Fei
收藏  |  浏览/下载：167/0  |  提交时间：2020/09/23
Fluid-structure interaction  variable coefficient wave equations  geometric multiplier method  boundary dissipation  Navier-Stokes equations  energy decay  49k20  
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：179/0  |  提交时间：2020/05/24
Fluid-structure interaction  nonlinear elastodynamic systems  boundary dissipation  Navier-Stokes equations  energy decay  global well-posedness  
CONVERGENCE ANALYSIS OF THE PML METHOD FOR TIME-DOMAIN ELECTROMAGNETIC SCATTERING PROBLEMS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2020, 卷号: 58, 期号: 3, 页码: 1918-1940
作者:  Wei, Changkun;  Yang, Jiaqing;  Zhang, Bo
收藏  |  浏览/下载：155/0  |  提交时间：2020/09/23
well-posedness  stability  time-domain electromagnetic scattering  PML  exponential convergence