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On the hydrostatic approximation of the Navier-Stokes equations in a thin strip 期刊论文
ADVANCES IN MATHEMATICS, 2020, 卷号: 372, 页码: 42
Authors:  Paicu, Marius;  Zhang, Ping;  Zhang, Zhifei
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Incompressible Navier-Stokes equations  Hydrostatic approximation  Radius of analyticity  
Interface-penalty finite element methods for interface problems in H-1, H(curl), and H(div) 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2020, 卷号: 367, 页码: 16
Authors:  Liu, Huaqing;  Zhang, Linbo;  Zhang, Xiaodi;  Zheng, Weiying
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Interface problem  Unfitted mesh  Interface-penalty finite element method  Maxwell's equation  Nitsche's method  
The null-timelike boundary problems of linear wave equations in asymptotically anti-de Sitter spacetime 期刊论文
Classical and Quantum Gravity, 2020, 卷号: 37, 期号: 16
Authors:  Zhang,Lin;  Wu,Xiaoning
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initial-boundary value problem  asymptotic AdS space-time  linear wave equation  
Global Well-Posedness of 3-D Anisotropic Navier-Stokes System with Small Unidirectional Derivative 期刊论文
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2020, 页码: 39
Authors:  Liu, Yanlin;  Paicu, Marius;  Zhang, Ping
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Space-time finite element method for the distributed-order time fractional reaction diffusion equations 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2020, 卷号: 152, 页码: 446-465
Authors:  Bu, Weiping;  Ji, Lun;  Tang, Yifa;  Zhou, Jie
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Distributed-order reaction diffusion equation  Space-time finite element method  Graded time mesh  Well-posedness  Error estimate  Sum-of-exponentials approximation  
Analysis of a time-dependent fluid-solid interaction problem above a local rough surface 期刊论文
SCIENCE CHINA-MATHEMATICS, 2020, 卷号: 63, 期号: 5, 页码: 887-906
Authors:  Wei, Changkun;  Yang, Jiaqing
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well-posedness  stability  a priori estimate  fluid-solid interaction  Laplace transform  local rough surface  
Exponential convergence of Cartesian PML method for Maxwell's equations in a two-layer medium 期刊论文
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2020, 卷号: 54, 期号: 3, 页码: 929-956
Authors:  Duan, Xiaoqi;  Jiang, Xue;  Zheng, Weiying
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Cartesian perfectly matched layer  exponential convergence  electromagnetic scattering problem  Maxwell's equation  two-layer medium  
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
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Fluid-structure interaction  nonlinear elastodynamic systems  boundary dissipation  Navier-Stokes equations  energy decay  global well-posedness  
GLOBAL WELL-POSEDNESS AND EXISTENCE OF THE GLOBAL ATTRACTOR FOR THE KADOMTSEV-PETVIASHVILI II EQUATION IN THE ANISOTROPIC SOBOLEV SPACE 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2020, 卷号: 40, 期号: 3, 页码: 1283-1307
Authors:  Kishimoto, Nobu;  Shan, Minjie;  Tsutsumi, Yoshio
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Kadomtsev-Petviashvili II equation  global well-posedness  global attractor  I-method  A-priori estimate  
On local strong and classical solutions to the three-dimensional barotropic compressible Navier-Stokes equations with vacuum 期刊论文
SCIENCE CHINA-MATHEMATICS, 2020, 页码: 18
Authors:  Huang, Xiangdi
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compressible Navier-Stokes equations  vacuum  strong solutions  classical solutions