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Point vortex approximation for 2D Navier-Stokes equations driven by space-time white noise 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 卷号: 493, 期号: 2, 页码: 21
Authors:  Flandoli, Franco;  Luo, Dejun
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Point vortices  Navier-Stokes equations  Space-time white noise  Vorticity formulation  Weak convergence  
A numerical approach to Kolmogorov equation in high dimension based on Gaussian analysis 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 卷号: 493, 期号: 1, 页码: 29
Authors:  Flandoli, Franco;  Luo, Dejun;  Ricci, Cristiano
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Kolmogorov equation  Numerical solution  Iteration schema  Gaussian process  
A scaling limit for the stochastic mSQG equations with multiplicative transport noises 期刊论文
STOCHASTICS AND DYNAMICS, 2020, 卷号: 20, 期号: 6, 页码: 21
Authors:  Luo, Dejun;  Saal, Martin
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Modified Surface Quasi-Geostrophic equation  transport noise  scaling limit  weak convergence  
The Structure of Vector Bundles on Non-primary Hopf Manifolds 期刊论文
CHINESE ANNALS OF MATHEMATICS SERIES B, 2020, 卷号: 41, 期号: 6, 页码: 929-938
Authors:  Gan, Ning;  Zhou, Xiangyu
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Hopf manifolds  Holomorphic vector bundles  Exact sequence  Cohomology  Filtration  Chern class  
A class of smooth exact penalty function methods for optimization problems with orthogonality constraints 期刊论文
OPTIMIZATION METHODS & SOFTWARE, 2020, 页码: 37
Authors:  Xiao, Nachuan;  Liu, Xin;  Yuan, Ya-xiang
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Orthogonality constraint  Stiefel manifold  augmented Lagrangian method  
Local weak solution of the isentropic compressible Navier-Stokes equations in a half-space 期刊论文
SCIENCE CHINA-MATHEMATICS, 2020, 页码: 10
Authors:  Duan, Qin;  Huang, Xiangdi
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Navier-Stokes equation  half-space  local weak solution  vacuum  
Convergence of Self-Tuning Regulators under Conditional Heteroscedastic Noises with Unknown High-Frequency Gain 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2020, 页码: 15
Authors:  Zhang, Yaqi;  Guo, Lei
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ARCH model  conditional heteroscedasticity  convergence  self-tuning regulator  weighted least-squares algorithm  
Spectral gap of sparse bistochastic matrices with exchangeable rows 期刊论文
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2020, 卷号: 56, 期号: 4, 页码: 2971-2995
Authors:  Bordenave, Charles;  Qiu, Yanqi;  Zhang, Yiwei
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Spectral gap  Random bistochastic matrices  High trace method  Tangled-free paths  
Tool Orientation Optimization and Path Planning for 5-Axis Machining 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2020, 页码: 24
Authors:  Yuan, Chunming;  Mi, Zhenpeng;  Jia, Xiaohong;  Lin, Fengming;  Shen, Liyong
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5-axis CNC machining  flat end cutter  tool path planning  tool posture optimization  
Descent of Ordinary Differential Equations with Rational General Solutions 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2020, 页码: 10
Authors:  Feng, Shuang;  Feng, Ruyong
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Algebraic ordinary differential equation  differential descent  rational general solution