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Mean field linear-quadratic control: Uniform stabilization and social optimality 期刊论文
AUTOMATICA, 2020, 卷号: 121, 页码: 14
作者:  Wang, Bing-Chang;  Zhang, Huanshui;  Zhang, Ji-Feng
收藏  |  浏览/下载:128/0  |  提交时间:2021/01/14
Mean field game  Variational analysis  Stabilization control  FBSDE  Riccati equation  
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:145/0  |  提交时间:2021/04/26
vortex-wave system  vortex patch  Euler equations  Kirchhoff-Routh function  variational problem  
Theoretical analysis for flattening of a rising bubble in a Hele-Shaw cell 期刊论文
PHYSICS OF FLUIDS, 2020, 卷号: 32, 期号: 9, 页码: 10
作者:  Xu, Xianmin;  Doi, Masao;  Zhou, Jiajia;  Di, Yana
收藏  |  浏览/下载:121/0  |  提交时间:2021/01/14
Steady vortex patches near a rotating flow with constant vorticity in a planar bounded domain 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 卷号: 487, 期号: 2, 页码: 15
作者:  Wang, Guodong;  Zuo, Bijun
收藏  |  浏览/下载:134/0  |  提交时间:2020/05/24
Euler equations  Vortex patch  Variational problem  Limiting behavior  
Decoupled Mixed Element Methods for Fourth Order Elliptic Optimal Control Problems with Control Constraints 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2020, 卷号: 13, 期号: 2, 页码: 400-432
作者:  Shen, Yue;  Jin, Chang
收藏  |  浏览/下载:157/0  |  提交时间:2020/05/24
Fourth order elliptic equation  optimal control problem  decoupled mixed element method  Lagrange element  nonconforming Crouzeix-Raviart element  a priori error estimates  
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:259/0  |  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:175/0  |  提交时间:2020/05/24
electromagnetic  elastic  Laplace transform  Lax-Milgram lemma  energy method  well-posedness  
PARALLEL ENERGY-STABLE SOLVER FOR A COUPLED ALLEN-CAHN AND CAHN-HILLIARD SYSTEM 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2020, 卷号: 42, 期号: 5, 页码: C294-C312
作者:  Huang, Jizu;  Yang, Chao;  Wei, Ying
收藏  |  浏览/下载:140/0  |  提交时间:2021/04/26
coupled Allen-Cahn/Cahn-Hilliard system  discrete variational derivative method  unconditionally energy stable scheme  Newton-Krylov-Schwarz  domain decomposition method