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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
作者:  Zhang, Rui;  Hu, Peiyan;  Meng, Qi;  Wang, Yue;  Zhu, Rongchan;  Chen, Bingguang;  Ma, Zhi-Ming;  Liu, Tie-Yan
收藏  |  浏览/下载：60/0  |  提交时间：2023/02/07
Global Controllability of the Navier-Stokes Equations in the Presence of Curved Boundary with No-Slip Conditions 期刊论文
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2022, 卷号: 24, 期号: 3, 页码: 32
作者:  Liao, Jiajiang;  Sueur, Franck;  Zhang, Ping
收藏  |  浏览/下载：73/0  |  提交时间：2023/02/07
Axi-symmetric Navier-Stokes equations  Controllability  No-slip Dirichlet boundary condition  Boundary layers  Return method  Multi-scales asymptotic expansion  Well-prepared dissipation method  Long-time nonlinear Cauchy-Kovalevskaya estimates  
Global Existence of Strong and Weak Solutions to 2D Compressible Navier-Stokes System in Bounded Domains with Large Data and Vacuum 期刊论文
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2022, 页码: 40
作者:  Fan, Xinyu;  Li, Jiaxu;  Li, Jing
收藏  |  浏览/下载：90/0  |  提交时间：2023/02/07
Vanishing viscosity limit of the compressible Navier-Stokes equations with finite energy and total mass 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 卷号: 310, 页码: 327-361
作者:  He, Lin;  Wang, Yong
收藏  |  浏览/下载：132/0  |  提交时间：2022/04/02
Euler equations  Navier-Stokes equations  Vanishing viscosity  Compensated compactness framework  Free boundary  Density-dependent viscosity  
Smooth Controllability of the Navier-Stokes Equation with Navier Conditions: Application to Lagrangian Controllability 期刊论文
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2022, 卷号: 243, 期号: 2, 页码: 869-941
作者:  Liao, Jiajiang;  Sueur, Franck;  Zhang, Ping
收藏  |  浏览/下载：119/0  |  提交时间：2022/04/02
Liouville type theorem for critical order Henon-Lane-Emden type equations on a half space and its applications 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2021, 卷号: 281, 期号: 10, 页码: 37
作者:  Dai, Wei;  Qin, Guolin
收藏  |  浏览/下载：114/0  |  提交时间：2022/04/02
Critical order  Henon-Lane-Emden type equations  Liouville theorems  A priori estimates  
Fixing the Residual Flattening of an Upwind Compact Scheme for Steady Incompressible Flows in Enclosed Domains 期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2021, 卷号: 11, 期号: 4, 页码: 708-731
作者:  Wang, Yunchu;  Yuan, Li
收藏  |  浏览/下载：104/0  |  提交时间：2022/04/02
Incompressible Navier-Stokes equations  artificial compressibility  upwind compact difference  convergence  enclosed domain  
LARGE-TIME BEHAVIORS OF THE SOLUTION TO 3D COMPRESSIBLE NAVIER-STOKES EQUATIONS IN HALF SPACE WITH NAVIER BOUNDARY CONDITIONS 期刊论文
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021, 卷号: 20, 期号: 7-8, 页码: 2811-2838
作者:  Wang, T. E. N. G.;  Wang, Y., I
收藏  |  浏览/下载：120/0  |  提交时间：2021/10/26
Compressible Navier-Stokes equations  planar rarefaction wave  sta- bility  Navier boundary conditions  
Initial boundary value problems for the three-dimensional compressible elastic Navier-Stokes-Poisson equations 期刊论文
ADVANCES IN NONLINEAR ANALYSIS, 2021, 卷号: 10, 期号: 1, 页码: 1356-1383
作者:  Wang, Yong;  Wu, Wenpei
收藏  |  浏览/下载：106/0  |  提交时间：2021/10/26
Elastic Navier-Stokes-Poisson equations  Initial-boundary value problems  Global solution  Exponential decay  
3D tamed Navier-Stokes equations driven by multiplicative Levy noise: Existence, uniqueness and large deviations 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 卷号: 492, 期号: 1, 页码: 48
作者:  Dong, Zhao;  Zhang, Rangrang
收藏  |  浏览/下载：180/0  |  提交时间：2020/11/18
Stochastic 3D tamed Navier-Stokes equations  Levy noise  Large deviations  Weak convergence method