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Well-posedness for the linearized free boundary problem of incompressible ideal magnetohydrodynamics equations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 299, 页码: 542-601
Authors:  Hao, Chengchun;  Luo, Tao
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Incompressible ideal magnetohydrodynamics equations  Linearized equations  Free boundary problem  Local well-posedness  
Global well-posedness and large-time behavior of 1D compressible Navier-Stokes equations with density-depending viscosity and vacuum in unbounded domains 期刊论文
SCIENCE CHINA-MATHEMATICS, 2021, 卷号: 64, 期号: 6, 页码: 1231-1244
Authors:  Li, Kexin;  Lu, Boqiang;  Wang, Yixuan
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1D compressible Navier-Stokes equations  global well-posedness  large initial data  vacuum  density-depending viscosity  
On the Relation Between the Girsanov Transform and the Kolmogorov Equations for SPDEs 期刊论文
POTENTIAL ANALYSIS, 2021, 页码: 28
Authors:  Flandoli, Franco;  Luo, Dejun;  Ricci, Cristiano
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Girsanov transform  Kolmogorov equation  Iteration scheme  Series expansion  Well posedness  
Well-posedness of distribution dependent SDEs with singular drifts 期刊论文
BERNOULLI, 2021, 卷号: 27, 期号: 2, 页码: 1131-1158
Authors:  Roeckner, Michael;  Zhang, Xicheng
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Distribution dependent SDEs  Zvonkin's transformation  singular drifts  superposition principle  McKean-Vlasov system  
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
Authors:  Paicu, Marius;  Zhang, Ping
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Analysis of the Fourier series Dirichlet-to-Neumann boundary condition of the Helmholtz equation and its application to finite element methods 期刊论文
NUMERISCHE MATHEMATIK, 2021, 页码: 30
Authors:  Xu, Liwei;  Yin, Tao
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35J25  65N30  74F10  
High mode transport noise improves vorticity blow-up control in 3D Navier-Stokes equations 期刊论文
PROBABILITY THEORY AND RELATED FIELDS, 2021, 页码: 55
Authors:  Flandoli, Franco;  Luo, Dejun
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3D Navier–  Stokes equations  Well posedness  Regularization by noise  Transport noise  Vorticity blow-up control  
A constrained transport divergence-free finite element method for incompressible MHD equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2021, 卷号: 428, 页码: 22
Authors:  Li, Lingxiao;  Zhang, Donghang;  Zheng, Weiying
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Magnetohydrodynamic equations  Constrained transport  Magnetic vector potential  Divergence-free finite element method  Block preconditioner  
Deterministic and stochastic 2D Navier-Stokes equations with anisotropic viscosity 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 275, 页码: 473-508
Authors:  Liang, Siyu;  Zhang, Ping;  Zhu, Rongchan
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Global Well-Posedness and Exponential Stability of 3D Navier-Stokes Equations with Density-Dependent Viscosity and Vacuum in Unbounded Domains 期刊论文
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2021, 页码: 27
Authors:  He, Cheng;  Li, Jing;  Lu, Boqiang
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