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Data completion algorithms and their applications in inverse acoustic scattering with limited-aperture backscattering data 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 469, 页码: 17
作者:  Dou, Fangfang;  Liu, Xiaodong;  Meng, Shixu;  Zhang, Bo
收藏  |  浏览/下载：75/0  |  提交时间：2023/02/07
Inverse acoustic scattering  Limited aperture  Backscattering data  Data completion  Direct sampling method  Factorization method  
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：49/0  |  提交时间：2023/02/07
The steady Euler equation  Kirchhoff-Routh function  Local uniqueness  Nonlinear stability  
Prediction of the transcription factor binding sites with meta-learning 期刊论文
METHODS, 2022, 卷号: 203, 页码: 207-213
作者:  Jing, Fang;  Zhang, Shao-Wu;  Zhang, Shihua
收藏  |  浏览/下载：172/0  |  提交时间：2023/02/07
Convolution neural network  Transcription factor binding sites  Meta learning  Noisy labels data  
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：136/0  |  提交时间：2022/04/02
Euler equations  Navier-Stokes equations  Vanishing viscosity  Compensated compactness framework  Free boundary  Density-dependent viscosity  
On the regularity of the maximal function of a BV function 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 300, 页码: 53-79
作者:  Lahti, Panu
收藏  |  浏览/下载：99/0  |  提交时间：2022/04/02
Function of bounded variation  Sobolev function  Non-centered maximal function  Quasicontinuity  Absolute continuity  
Existence and regularity of co-rotating and traveling-wave vortex solutions for the generalized SQG equation 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 299, 页码: 429-462
作者:  Cao, Daomin;  Qin, Guolin;  Zhan, Weicheng;  Zou, Changjun
收藏  |  浏览/下载：180/0  |  提交时间：2021/10/26
Standing waves with prescribed mass for the Schrodinger equations with van der Waals type potentials 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 276, 页码: 228-263
作者:  Cao, Daomin;  Jia, Huifang;  Luo, Xiao
收藏  |  浏览/下载：167/0  |  提交时间：2021/04/26
Schrodinger equation  vander Waals type potentials  Normalized solutions  Stability  Variational methods  
Rotating vortex patches for the planar Euler equations in a disk 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 275, 页码: 509-532
作者:  Cao, Daomin;  Wan, Jie;  Wang, Guodong;  Zhan, Weicheng
收藏  |  浏览/下载：151/0  |  提交时间：2021/04/26
Vortex patch  Euler equations  Variational analysis  Nonlinear orbital stability  
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
作者:  Flandoli, Franco;  Luo, Dejun
收藏  |  浏览/下载：170/0  |  提交时间：2021/01/14
Point vortices  Navier-Stokes equations  Space-time white noise  Vorticity formulation  Weak convergence  
Desingularization of vortex rings in 3 dimensional Euler flows 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 270, 页码: 1258-1297
作者:  Cao, Daomin;  Wan, Jie;  Zhan, Weicheng
收藏  |  浏览/下载：189/0  |  提交时间：2021/01/14