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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：186/0  |  提交时间：2021/10/26
Traveling vortex pairs for 2D incompressible Euler equations 期刊论文
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2021, 卷号: 60, 期号: 5, 页码: 16
作者:  Cao, Daomin;  Lai, Shanfa;  Zhan, Weicheng
收藏  |  浏览/下载：123/0  |  提交时间：2022/04/02
35J60  35Q31  76B47  
Algorithms for the metric ring star problem with fixed edge-cost ratio 期刊论文
JOURNAL OF COMBINATORIAL OPTIMIZATION, 2021, 卷号: 42, 期号: 3, 页码: 499-523
作者:  Chen, Xujin;  Hu, Xiaodong;  Jia, Xiaohua;  Tang, Zhongzheng;  Wang, Chenhao;  Zhang, Ying
收藏  |  浏览/下载：135/0  |  提交时间：2022/04/02
Ring star  Approximation algorithms  Heuristics  Local search  Connected facility location  
Stability of Large-Amplitude Viscous Shock Under Periodic Perturbation for 1-d Isentropic Navier-Stokes Equations 期刊论文
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2021, 页码: 25
作者:  Huang, Feimin;  Yuan, Qian
收藏  |  浏览/下载：130/0  |  提交时间：2022/04/02
Nonlinear Stability of Planar Vortex Patches in an Ideal Fluid 期刊论文
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2021, 卷号: 23, 期号: 3, 页码: 16
作者:  Cao, Daomin;  Wang, Guodong
收藏  |  浏览/下载：156/0  |  提交时间：2021/10/26
Euler equations  vortex patch  nonlinear stability  Kirchhoff-Routh function  
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：169/0  |  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：127/0  |  提交时间：2021/10/26
Euler equation  incompressible fluids  vortex patch  variational problem  irrotational flow  
LIOUVILLE TYPE THEOREMS FOR FRACTIONAL AND HIGHER-ORDER FRACTIONAL SYSTEMS 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2021, 卷号: 41, 期号: 5, 页码: 2269-2283
作者:  Cao, Daomin;  Qin, Guolin
收藏  |  浏览/下载：165/0  |  提交时间：2021/04/26
Fractional Laplacians  Henon-Lane-Emden systems  decay estimates  higher-order fractional Laplacians  Lionville type theorems  
ON THE SPECTRAL ASYMPTOTICS OF WAVES IN PERIODIC MEDIA WITH DIRICHLET OR NEUMANN EXCLUSIONS 期刊论文
QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 2021, 卷号: 74, 期号: 2, 页码: 173-221
作者:  Oudghiri-Idrissi, Othman;  Guzina, Bojan B.;  Meng, Shixu
收藏  |  浏览/下载：123/0  |  提交时间：2022/04/02
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：180/0  |  提交时间：2021/04/26
Schrodinger equation  vander Waals type potentials  Normalized solutions  Stability  Variational methods