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Stochastic mSQG equations with multiplicative transport noises: White noise solutions and scaling limit 期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2021, 卷号: 140, 页码: 236-286
作者:  Luo, Dejun;  Zhu, Rongchan
收藏  |  浏览/下载:122/0  |  提交时间:2022/04/02
Modified Surface Quasi-Geostrophic equation  Transport noise  White noise solution  Scaling limit  Weak convergence  
On Ill- and Well-Posedness of Dissipative Martingale Solutions to Stochastic 3D Euler Equations 期刊论文
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2021, 页码: 65
作者:  Hofmanova, Martina;  Zhu, Rongchan;  Zhu, Xiangchan
收藏  |  浏览/下载:131/0  |  提交时间:2022/04/02
A novel multi-agent model for chemical self-assembly 期刊论文
AUTOMATICA, 2021, 卷号: 129, 页码: 7
作者:  Ning, Zheng;  Chen, Ge
收藏  |  浏览/下载:145/0  |  提交时间:2021/10/26
Self-assembly  Multi-agent systems  Optimal control  Noise  
STRUCTURE OF POSITIVE SOLUTIONS TO A CLASS OF SCHRODINGER SYSTEMS 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2021, 卷号: 14, 期号: 6, 页码: 1857-1870
作者:  Cheng, Xiyou;  Zhang, Zhitao
收藏  |  浏览/下载:122/0  |  提交时间:2022/04/02
Schrodinger system  Positive solution  Existence and uniqueness  Synchronized solution  
Solutions for nonlinear Fokker-Planck equations with measures as initial data and McKean-Vlasov equations 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2021, 卷号: 280, 期号: 7, 页码: 35
作者:  Barbu, Viorel;  Roeckner, Michael
收藏  |  浏览/下载:148/0  |  提交时间:2021/04/26
Fokker-Planck equation  m-accretive  Measure as initial data  McKean-Vlasov stochastic differential equation  
Normalized solutions to the Chern-Simons-Schrodinger system 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2021, 卷号: 280, 期号: 5, 页码: 65
作者:  Gou, Tianxiang;  Zhang, Zhitao
收藏  |  浏览/下载:167/0  |  提交时间:2021/04/26
Chern-Simons-Schrodinger system  Normalized solutions  Standing waves  Orbital instability  
THE NUMBER OF POSITIVE SOLUTIONS TO THE BREZIS-NIRENBERG PROBLEM 期刊论文
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 卷号: 374, 期号: 3, 页码: 1947-1985
作者:  Cao, Daomin;  Luo, Peng;  Peng, Shuangjie
收藏  |  浏览/下载:181/0  |  提交时间:2021/04/26
Critical Sobolev exponent  local Pohozaev identity  existence of solutions  exact number of solutions  Green's function  
Deterministic and stochastic 2D Navier-Stokes equations with anisotropic viscosity 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 275, 页码: 473-508
作者:  Liang, Siyu;  Zhang, Ping;  Zhu, Rongchan
收藏  |  浏览/下载:129/0  |  提交时间:2021/04/26
KALMAN-BUCY FILTERING AND MINIMUM MEAN SQUARE ESTIMATOR UNDER UNCERTAINTY 期刊论文
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2021, 卷号: 59, 期号: 4, 页码: 2669-2692
作者:  Ji, Shaolin;  Kong, Chuiliu;  Sun, Chuanfeng;  Zhang, Ji-Feng
收藏  |  浏览/下载:135/0  |  提交时间:2022/04/02
Kalman-Bucy filtering  minimum mean square estimator  drift uncertainty  convex operator  minimax theorem  backward stochastic differential equation