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Co-rotating and traveling vortex sheets for the 2D incompressible Euler equation 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2023, 卷号: 228, 页码: 21
作者:  Cao, Daomin;  Qin, Guolin;  Zou, Changjun
收藏  |  浏览/下载：114/0  |  提交时间：2023/02/07
The Euler equation  Vortex sheets  Birkhoff-Rott operator  Implicit function theorem  
Dissipation enhancement by transport noise for stochastic p-Laplace equations 期刊论文
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2023, 卷号: 30, 期号: 1, 页码: 24
作者:  Dong, Zhao;  Luo, Dejun;  Tang, Bin
收藏  |  浏览/下载：94/0  |  提交时间：2023/02/07
p-Laplace operator  Transport noise  Dissipation enhancement  Semigroup approach  
Linearization of nonlinear Fokker-Planck equations and applications 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 卷号: 322, 页码: 1-37
作者:  Ren, Panpan;  Roeckner, Michael;  Wang, Feng-Yu
收藏  |  浏览/下载：78/0  |  提交时间：2023/02/07
Nonlinear Fokker-Planck equation  McKean-Vlasov stochastic differential equation  Diffusion process  Ergodicity  Feynman-Kac formula  
The invariance principle for nonlinear Fokker-Planck equations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 卷号: 315, 页码: 200-221
作者:  Barbu, Viorel;  Rockner, Michael
收藏  |  浏览/下载：114/0  |  提交时间：2022/04/02
Fokker-Planck equation  McKean-Vlasov equations  Generalized solution  Nonlinear semigroup  
Stability of Couette flow for 2D Boussinesq system with vertical dissipation 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2021, 卷号: 281, 期号: 12, 页码: 40
作者:  Deng, Wen;  Wu, Jiahong;  Zhang, Ping
收藏  |  浏览/下载：99/0  |  提交时间：2022/04/02
Boussinesq equations  Enhanced dissipation  Stability of Couette flow  
The energy-preserving time high-order AVF compact finite difference scheme for nonlinear wave equations in two dimensions 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2021, 卷号: 170, 页码: 298-320
作者:  Hou, Baohui;  Liang, Dong
收藏  |  浏览/下载：115/0  |  提交时间：2022/04/02
AVF method  CFD operator  Time high-order  Energy conservation  Convergence  Nonlinear wave equations  
OPTIMAL CONTROL OF NONLINEAR STOCHASTIC DIFFERENTIAL EQUATIONS ON HILBERT SPACES 期刊论文
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2020, 卷号: 58, 期号: 4, 页码: 2383-2410
作者:  Barbu, Viorel;  Rockner, Michael;  Zhang, Deng
收藏  |  浏览/下载：136/0  |  提交时间：2020/11/18
stochastic differential equations  optimal control  Kolmogorov operators  
Laplace’s equation with concave and convex boundary nonlinearities on an exterior region 期刊论文
Boundary Value Problems, 2019, 卷号: 2019, 期号: 1
作者:  Mao,Jinxiu;  Zhao,Zengqin;  Qian,Aixia
收藏  |  浏览/下载：123/0  |  提交时间：2019/04/02
Exterior regions  Laplace operator  Concave and convex mixed nonlinear boundary conditions  Fountain theorems  Steklov eigenvalue problems  35J20  35J65  46E22  49R99  
ENERGY STABLE SECOND ORDER LINEAR SCHEMES FOR THE ALLEN-CAHN PHASE-FIELD EQUATION 期刊论文
COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2019, 卷号: 17, 期号: 3, 页码: 609-635
作者:  Wang, Lin;  Yu, Haijun
收藏  |  浏览/下载：684/0  |  提交时间：2020/01/10
Allen-Cahn equation  energy stable  stabilized semi-implicit scheme  second order scheme  error estimate  
Projective Dirichlet Boundary Condition with Applications to a Geometric Problem 期刊论文
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2016, 卷号: 32, 期号: 1, 页码: 11-24
作者:  Ji, Min
收藏  |  浏览/下载：100/0  |  提交时间：2018/07/30
Elliptic resonance equation  nonlinear boundary condition  convex indicatrix  mean torsion