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Central limit theorem and moderate deviation principle for stochastic scalar conservation laws 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 卷号: 516, 期号: 1, 页码: 26
作者:  Wu, Zhengyan;  Zhang, Rangrang
收藏  |  浏览/下载：97/0  |  提交时间：2023/02/07
Stochastic scalar conservation laws  Weak convergence method  Doubling of variables method  Central limit theorem  Moderate deviation principle  Kinetic solution  
GLOBAL WELL-POSEDNESS OF THE 3D NAVIER-STOKES EQUATIONS PERTURBED BY A DETERMINISTIC VECTOR FIELD 期刊论文
ANNALS OF APPLIED PROBABILITY, 2022, 卷号: 32, 期号: 4, 页码: 2568-2586
作者:  Flandoli, Franco;  Hofmanova, Martina;  Luo, Dejun;  Nilssen, Torstein
收藏  |  浏览/下载：135/0  |  提交时间：2023/02/07
3D Navier-Stokes equations  vorticity form  well-posedness  regularization by noise  Wong-Zakai principle  
Large Deviations Principles for Symplectic Discretizations of Stochastic Linear Schrodinger Equation 期刊论文
POTENTIAL ANALYSIS, 2022, 页码: 41
作者:  Chen, Chuchu;  Hong, Jialin;  Jin, Diancong;  Sun, Liying
收藏  |  浏览/下载：157/0  |  提交时间：2022/04/29
Large deviations principle  Symplectic discretizations  Stochastic Schrodinger equation  Rate function  Exponential tightness  
Averaging principle and normal deviations for multi-scale stochastic hyperbolic-parabolic equations 期刊论文
STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS, 2022, 页码: 39
作者:  Roeckner, Michael;  Xie, Longjie;  Yang, Li
收藏  |  浏览/下载：146/0  |  提交时间：2022/04/29
Stochastic hyperbolic-parabolic equations  Averaging principle  Strong and weak convergence  Homogenization  
Robust Tracking Error Feedback Control for a One-Dimensional Schrodinger Equation 期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2022, 卷号: 67, 期号: 3, 页码: 1120-1134
作者:  Liu, Jun-Jun;  Guo, Bao-Zhu
收藏  |  浏览/下载：141/0  |  提交时间：2022/04/29
Mathematical model  Feedback control  Regulation  Observers  Feedforward systems  Eigenvalues and eigenfunctions  Convergence  Internal model principle  output tracking  robust control  Schrodinger equation  
Normalized solutions to Schrodinger systems with linear and nonlinear couplings 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 卷号: 506, 期号: 1, 页码: 19
作者:  Yun, Zhaoyang;  Zhang, Zhitao
收藏  |  浏览/下载：146/0  |  提交时间：2022/04/02
Nonlinear Schrodinger systems  Normalized solutions  Ekland variational principle  Minimax principle  
Well-posedness of distribution dependent SDEs with singular drifts 期刊论文
BERNOULLI, 2021, 卷号: 27, 期号: 2, 页码: 1131-1158
作者:  Roeckner, Michael;  Zhang, Xicheng
收藏  |  浏览/下载：162/0  |  提交时间：2021/06/01
Distribution dependent SDEs  Zvonkin's transformation  singular drifts  superposition principle  McKean-Vlasov system  
Strong convergence order for slow-fast McKean-Vlasov stochastic differential equations 期刊论文
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2021, 卷号: 57, 期号: 1, 页码: 547-576
作者:  Rockner, Michael;  Sun, Xiaobin;  Xie, Yingchao
收藏  |  浏览/下载：170/0  |  提交时间：2021/04/26
Averaging principle  McKean-Vlasov stochastic differential equations  Slow-fast  Poisson equation  Strong convergence order  
Elastic-plastic deformation decomposition algorithm for metal clusters at the atomic scale 期刊论文
COMPUTATIONAL MECHANICS, 2021, 页码: 15
作者:  Yu, Yifan;  Cui, Junzhi
收藏  |  浏览/下载：143/0  |  提交时间：2021/04/26
Micro-nanoscale  Elastic–  plastic deformation decomposition algorithm  Unloading method  Intermediate configuration  Principle of minimum potential energy  Embedded-atom method  
ASYMPTOTICALLY-PRESERVING LARGE DEVIATIONS PRINCIPLES BY STOCHASTIC SYMPLECTIC METHODS FOR A LINEAR STOCHASTIC OSCILLATOR 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 卷号: 59, 期号: 1, 页码: 32-59
作者:  Chen, Chuchu;  Hong, Jialing;  Jin, Diancong;  Sun, Liying
收藏  |  浏览/下载：182/0  |  提交时间：2021/04/26
stochastic symplectic methods  superiority  large deviations principle  rate function  asymptotical preservation