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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
Authors:  Qin, Yizhao;  Yao, Peng-Fei
Favorite  |  View/Download：137/0  |  Submit date：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
Authors:  Qin, Yizhao;  Guo, Yuxia;  Yao, Peng-Fei
Favorite  |  View/Download：140/0  |  Submit date：2020/05/24
Fluid-structure interaction  nonlinear elastodynamic systems  boundary dissipation  Navier-Stokes equations  energy decay  global well-posedness  
Decay Rates of the Hyperbolic Equation in an Exterior Domain with Half-Linear and Nonlinear Boundary Dissipations 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2016, 卷号: 29, 期号: 3, 页码: 657-680
Authors:  Liu Yuxiang;  Li Jing;  Yao Pengfei
Favorite  |  View/Download：86/0  |  Submit date：2018/07/30
Energy decay  exterior domain  hyperbolic equation  Riemannian geometry method  variable coefficients  
Time decay rates for the equations of the compressible heat-conductive flow through porous media 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 卷号: 259, 期号: 9, 页码: 4707-4731
Authors:  Chen, Qing;  Tan, Zhong;  Wu, Guochun
Favorite  |  View/Download：85/0  |  Submit date：2018/07/30
Compressible flow  Energy method  Optimal decay rates  
ON THE DECAY AND SCATTERING FOR THE KLEIN-GORDON-HARTREE EQUATION WITH RADIAL DATA 期刊论文
ACTA MATHEMATICA SCIENTIA, 2012, 卷号: 32, 期号: 5, 页码: 1835-1850
Authors:  Wu Haigen;  Zhang Junyong
Favorite  |  View/Download：67/0  |  Submit date：2021/01/14
ENERGY SCATTERING  WAVE-EQUATION  SCHRODINGER-EQUATIONS  CUBIC CONVOLUTION  NONLINEARITY  OPERATORS  Klein-Gordon equation  Hartree nonlinearity  decay estimate  scattering theory  
Global smooth solutions for semilinear Schrodinger equations with boundary feedback on 2-dimensional Riemannian manifolds 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2009, 卷号: 22, 期号: 4, 页码: 749-776
Authors:  Deng, Li;  Yao, Pengfei
Favorite  |  View/Download：69/0  |  Submit date：2018/07/30
Boundary feedback  energy decay  Riemannian metric  semilinear schrodinger equation  
Stabilization of Euler-Bernoulli plate equation with variable coefficients by nonlinear boundary feedback 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 卷号: 317, 期号: 1, 页码: 50-70
Authors:  Guo, YX;  Yao, PF
Favorite  |  View/Download：60/0  |  Submit date：2018/07/30
Euler-Bernoulli plate equation  nonlinear boundary feedback  exponential energy decay rate  Riemannian geometry method  
The exponential decay of global solutions to the generalized Landau equation near Maxwellians 期刊论文
QUARTERLY OF APPLIED MATHEMATICS, 2006, 卷号: 64, 期号: 1, 页码: 29-39
Authors:  Yu, HJ
Favorite  |  View/Download：61/0  |  Submit date：2018/07/30
global classical solution  exponential decay  energy estimates  
Existence and exponential decay of global solutions to the Boltzmann equation near Maxwellians 期刊论文
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2005, 卷号: 15, 期号: 3, 页码: 483-505
Authors:  Yu, HJ
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global-in-time classical solution  exponential decay  energy estimate  
Nonlinear Internal Damping of Wave Equations with Variable Coefficients 期刊论文
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2004, 卷号: 20, 期号: 6, 页码: 1057-1072
Authors:  Feng, Shao Ji;  Feng, De Xing
Favorite  |  View/Download：63/0  |  Submit date：2018/07/30
Wave equations  Energy decay rate  Nonlinear internal damping  Riemannian manifold