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A New Exponential Compact Scheme for the Two-Dimensional Unsteady Nonlinear Burgers' and Navier-Stokes Equations in Polar Cylindrical Coordinates 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2021, 卷号: 14, 期号: 2, 页码: 488-507
作者:  Mohanty, R. K.;  Yuan, Li;  Sharma, Divya
收藏  |  浏览/下载:180/0  |  提交时间:2021/04/26
Half-step discretization  compact scheme in exponential form  two-level implicit scheme  Burgers' equation  Navier-Stokes equations of motion  Taylor-vortex problem  
Ergodicity for a class of semilinear stochastic partial differential equations 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 页码: 20
作者:  Dong, Zhao;  Zhang, Rangrang
收藏  |  浏览/下载:219/0  |  提交时间:2020/05/24
invariant measures  irreducibility  semilinear partial differential equations  space-time white noise  strong Feller property  
Averaging principle for one dimensional stochastic Burgers equation 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 卷号: 265, 期号: 10, 页码: 4749-4797
作者:  Dong, Zhao;  Sun, Xiaobin;  Xiao, Hui;  Zhai, Jianliang
收藏  |  浏览/下载:445/0  |  提交时间:2018/10/07
Stochastic Burgers' equation  Averaging principle  Ergodicity  Invariant measure  Strong convergence  Weak convergence  
Lax Integrability and the Peakon Problem for the Modified Camassa-Holm Equation 期刊论文
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2018, 卷号: 358, 期号: 1, 页码: 295-341
作者:  Chang, Xiangke;  Szmigielski, Jacek
收藏  |  浏览/下载:172/0  |  提交时间:2018/07/30
变系数KdV—Burgers-Kuramoto方程的群论分析—容许变换及对称群 期刊论文
系统科学与数学, 2009, 卷号: 000, 期号: 009, 页码: 1278-1285
作者:  闫振亚;  谢福鼎
收藏  |  浏览/下载:120/0  |  提交时间:2021/01/14
VCKdVBK方程  容许变换  等价类  Lie点对称群  
Symbolic computation and non-travelling wave solutions of (2+1)-dimensional nonlinear evolution equations 期刊论文
CHAOS SOLITONS & FRACTALS, 2008, 卷号: 38, 期号: 2, 页码: 383-390
作者:  Wang, Deng-Shan;  Li, Hongbo
收藏  |  浏览/下载:144/0  |  提交时间:2018/07/30
The novel solutions of auxiliary equation and their application to the (2+1)-dimensional Burgers equations 期刊论文
CHAOS SOLITONS & FRACTALS, 2008, 卷号: 38, 期号: 2, 页码: 374-382
作者:  Wang, Deng-Shan;  Li, Hong-Bo;  Wang, Jike
收藏  |  浏览/下载:117/0  |  提交时间:2018/07/30
On the uniqueness of invariant measure of the burgers equation driven by Levy processes 期刊论文
JOURNAL OF THEORETICAL PROBABILITY, 2008, 卷号: 21, 期号: 2, 页码: 322-335
作者:  Dong, Z.
收藏  |  浏览/下载:156/0  |  提交时间:2018/07/30
Burgers equations  Poisson process  Q-Wiener process  mild solution  invariant measure  
Homotopy perturbation method for fractional KdV-Burgers equation 期刊论文
CHAOS SOLITONS & FRACTALS, 2008, 卷号: 35, 期号: 5, 页码: 843-850
作者:  Wang, Qi
收藏  |  浏览/下载:118/0  |  提交时间:2018/07/30
Complex PT-symmetric extensions of the non-PT-symmetric Burgers equation 期刊论文
PHYSICA SCRIPTA, 2008, 卷号: 77, 期号: 2, 页码: 6
作者:  Yan, Zhenya
收藏  |  浏览/下载:81/0  |  提交时间:2018/07/30