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Asymptotic stability of the combination of a viscous contact wave with two rarefaction waves for 1-D Navier-Stokes equations under periodic perturbations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 卷号: 346, 页码: 254-276
Authors:  Liu, Lingjun;  Wang, Danli;  Xu, Lingda
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Navier-Stokes equations  Composite wave  Periodic perturbation  
Error analysis of a conservative finite element scheme for time-dependent inductionless MHD problem 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2023, 卷号: 419, 页码: 22
Authors:  Long, Xiaonian;  Ding, Qianqian;  Mao, Shipeng
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Inductionless magnetohydrodynamics  Current density conservation  Euler semi-implicit  Error estimate  Mixed finite element method  
Attractors for the inhomogeneous incompressible Navier-Stokes flows 期刊论文
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2023, 卷号: 69, 页码: 20
Authors:  Han, Pigong;  Lei, Keke;  Liu, Chenggang;  Wang, Xuewen
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Inhomogeneous Navier-Stokes  equations  Long time behavior  Attractor  
Linear Inviscid Damping and Enhanced Dissipation for Monotone Shear Flows 期刊论文
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2022, 页码: 62
Authors:  Chen, Qi;  Wei, Dongyi;  Zhang, Zhifei
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A fourth-order unfitted characteristic finite element method for free-boundary problems 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 469, 页码: 19
Authors:  Ma, Chuwen;  Zheng, Weiying
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Free-boundary problems  Unfitted characteristic finite element  methods  Convection-diffusion equation  Navier-Stokes equations  
Enhanced dissipation for the third component of 3D anisotropic Navier-Stokes equations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 卷号: 335, 页码: 464-496
Authors:  Xu, Li;  Zhang, Ping
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Anisotropic Navier-Stokes equations  Littlewood-Paley theory  Large time behavior  
DRVN (deep random vortex network): A new physics-informed machine learning method for simulating and inferring incompressible fluid flows 期刊论文
PHYSICS OF FLUIDS, 2022, 卷号: 34, 期号: 10, 页码: 21
Authors:  Zhang, Rui;  Hu, Peiyan;  Meng, Qi;  Wang, Yue;  Zhu, Rongchan;  Chen, Bingguang;  Ma, Zhi-Ming;  Liu, Tie-Yan
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A Lowest-Degree Conservative Finite Element Scheme for Incompressible Stokes Problems on General Triangulations 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 93, 期号: 1, 页码: 31
Authors:  Liu, Wenjia;  Zhang, Shuo
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Incompressible stokes equations  Inf-sup condition  Conservative scheme  Pressure-robust discretization  Lowest degree  
Convergence of adaptive nonconforming finite element method for Stokes optimal control problems 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 卷号: 412, 页码: 23
Authors:  Shen, Yue;  Gong, Wei;  Yan, Ningning
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Optimal control problem  Stokes equations  Control constraints  Adaptive nonconforming finite element method  Convergence and quasi-optimality  
On the Radius of Analyticity of Solutions to 3D Navier-Stokes System with Initial Data in L-p 期刊论文
CHINESE ANNALS OF MATHEMATICS SERIES B, 2022, 卷号: 43, 期号: 5, 页码: 749-772
Authors:  Hu, Ruilin;  Zhang, Ping
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Incompressible Navier-Stokes equations  Radius of analyticity  Littlewood-Paley theory