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Co-rotating and traveling vortex sheets for the 2D incompressible Euler equation 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2023, 卷号: 228, 页码: 21
作者:  Cao, Daomin;  Qin, Guolin;  Zou, Changjun
收藏  |  浏览/下载：151/0  |  提交时间：2023/02/07
The Euler equation  Vortex sheets  Birkhoff-Rott operator  Implicit function theorem  
Universal potential estimates for 1 < p <= 2-1 dagger n 期刊论文
MATHEMATICS IN ENGINEERING, 2023, 卷号: 5, 期号: 3, 页码: 1-24
作者:  Nguyen, Quoc-Hung;  Phuc, Nguyen Cong
收藏  |  浏览/下载：91/0  |  提交时间：2023/02/07
pointwise estimate  potential estimate  Wolff?s potential  Riesz?s potential  fractional maximal function  Caldero?n space  p-Laplacian  quasilinear equation  measure data  
Data-driven soliton mappings for integrable fractional nonlinear wave equations via deep learning with Fourier neural operator 期刊论文
CHAOS SOLITONS & FRACTALS, 2022, 卷号: 165, 页码: 14
作者:  Zhong, Ming;  Yan, Zhenya
收藏  |  浏览/下载：89/0  |  提交时间：2023/02/07
Integrable fractional nonlinear wave equations  Fourier neural operator  Deep learning  Data-driven soliton mapping  Activation function  Channel of fully-connected layer  
Local uniqueness of vortices for 2D steady Euler flow in a bounded domain 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2022, 卷号: 283, 期号: 9, 页码: 43
作者:  Cao, Daomin;  Yu, Weilin;  Zou, Changjun
收藏  |  浏览/下载：66/0  |  提交时间：2023/02/07
The steady Euler equation  Kirchhoff-Routh function  Local uniqueness  Nonlinear stability  
Stability of Multiplier Ideal Sheaves 期刊论文
CHINESE ANNALS OF MATHEMATICS SERIES B, 2022, 卷号: 43, 期号: 5, 页码: 819-832
作者:  Guan, Qi'an;  Li, Zhenqian;  Zhou, Xiangyu
收藏  |  浏览/下载：76/0  |  提交时间：2023/02/07
Plurisubharmonic function  Multiplier ideal sheaf  Strong openness and stability  Coherent analytic sheaf  L-2 estimate  
Understanding the acceleration phenomenon via high-resolution differential equations 期刊论文
MATHEMATICAL PROGRAMMING, 2022, 卷号: 195, 期号: 1-2, 页码: 79-148
作者:  Shi, Bin;  Du, Simon S.;  Jordan, Michael, I;  Su, Weijie J.
收藏  |  浏览/下载：100/0  |  提交时间：2023/02/07
Convex optimization  First-order method  Polyak's heavy ball method  Nesterov's accelerated gradient methods  Ordinary differential equation  Lyapunov function  Gradient minimization  
A new method for estimating Sharpe ratio function via local maximum likelihood 期刊论文
JOURNAL OF APPLIED STATISTICS, 2022, 页码: 19
作者:  Xu, Wenchao;  Lin, Hongmei;  Tong, Tiejun;  Zhang, Riquan
收藏  |  浏览/下载：99/0  |  提交时间：2023/02/07
Direct method  heteroscedastic non-parametric regression  joint limiting distribution  local polynomial smoothing  Sharpe ratio function  
Dynamics on the number of prime divisors for additive arithmetic semigroups 期刊论文
FINITE FIELDS AND THEIR APPLICATIONS, 2022, 卷号: 81, 页码: 28
作者:  Wang, Biao
收藏  |  浏览/下载：94/0  |  提交时间：2023/02/07
Prime Number Theorem  Liouville function  Largest prime factors  Uniquely ergodic  Uniform distribution  
The augmented lagrangian method can approximately solve convex optimization with least constraint violation 期刊论文
MATHEMATICAL PROGRAMMING, 2022, 页码: 35
作者:  Dai, Yu-Hong;  Zhang, Liwei
收藏  |  浏览/下载：140/0  |  提交时间：2023/02/07
Convex optimization  Least constraint violation  Augmented Lagrangian method  Shifted problem  Optimal value mapping  Solution mapping  Dual function  Conjugate dual  
Study on convex optimization with least constraint violation under a general measure 期刊论文
OPTIMIZATION, 2022, 页码: 32
作者:  Dai, Yu-Hong;  Zhang, Liwei
收藏  |  浏览/下载：268/0  |  提交时间：2023/02/07
Convex optimization  measure function  least constraint violation  augmented Lagrangian method  shifted problem