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ON THE STANDING WAVES FOR THE X-RAY FREE ELECTRON LASER SCHRODINGER EQUATION 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2022, 页码: 41
作者:  Cao, Daomin;  Feng, Binhua;  Luo, Tingjian
收藏  |  浏览/下载:60/0  |  提交时间:2023/02/07
XFEL Schr?dinger equation  nonlinear elliptic equations  normalized solutions  orbital stability  strong instability  
RECOVERING A BOUNDED ELASTIC BODY BY ELECTROMAGNETIC FAR-FIELD MEASUREMENTS 期刊论文
INVERSE PROBLEMS AND IMAGING, 2022, 页码: 21
作者:  Zhu, Tielei;  Yang, Jiaqing;  Zhang, Bo
收藏  |  浏览/下载:123/0  |  提交时间:2022/04/29
Interaction  Maxwell's equations  Navier equation  well-posedness  inverse scattering  uniqueness  
A convergent low-wavenumber, high-frequency homogenization of the wave equation in periodic media with a source term 期刊论文
APPLICABLE ANALYSIS, 2021, 页码: 34
作者:  Meng, Shixu;  Oudghiri-Idrissi, Othman;  Guzina, Bojan B.
收藏  |  浏览/下载:160/0  |  提交时间:2021/10/26
Waves in periodic media  dynamic homogenization  finite frequency  band gap  (Floquet-)Bloch transform  variational formulation  
Steady vortex patches near a nontrivial irrotational flow 期刊论文
SCIENCE CHINA-MATHEMATICS, 2021, 卷号: 64, 期号: 5, 页码: 947-962
作者:  Cao, Daomin;  Wang, Guodong;  Zhan, Weicheng
收藏  |  浏览/下载:121/0  |  提交时间:2021/10/26
Euler equation  incompressible fluids  vortex patch  variational problem  irrotational flow  
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:162/0  |  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:149/0  |  提交时间:2021/04/26
Vortex patch  Euler equations  Variational analysis  Nonlinear orbital stability  
Existence of Steady Symmetric Vortex Patch in a Disk 期刊论文
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2021, 卷号: 23, 期号: 1, 页码: 13
作者:  Cao, Daomin;  Wang, Guodong;  Zuo, Bijun
收藏  |  浏览/下载:157/0  |  提交时间:2021/04/26
Euler equation  Ideal fluid  Vortex patch  Kirchhoff-Routh function  Variational problem  
EXISTENCE OF STEADY MULTIPLE VORTEX PATCHES TO THE VORTEX-WAVE SYSTEM 期刊论文
PACIFIC JOURNAL OF MATHEMATICS, 2020, 卷号: 308, 期号: 2, 页码: 257-279
作者:  Cao, Daomin;  Wang, Guodong
收藏  |  浏览/下载:144/0  |  提交时间:2021/04/26
vortex-wave system  vortex patch  Euler equations  Kirchhoff-Routh function  variational problem  
Steady vortex patch with polygonal symmetry for the planar Euler equations in a disc 期刊论文
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2020, 卷号: 51, 页码: 19
作者:  Cao, Daomin;  Wan, Jie;  Wang, Guodong
收藏  |  浏览/下载:256/0  |  提交时间:2020/01/10
Fluid dynamics  Incompressible Euler flows  Vortex patch  
A Time-dependent Interaction Problem Between an Electromagnetic Field and an Elastic Body 期刊论文
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2020, 卷号: 36, 期号: 1, 页码: 95-118
作者:  Wei, Chang-kun;  Yang, Jia-qing;  Zhang, Bo
收藏  |  浏览/下载:172/0  |  提交时间:2020/05/24
electromagnetic  elastic  Laplace transform  Lax-Milgram lemma  energy method  well-posedness