Summary The Kuramoto-Sivashinsky (KS) equation has applications in fluid mechanics, including as a basic description for turbulence [1, 3, 4]. It is also a useful test problem for numerical methods with the following features: higher order (up to 4 u/x 4 in x); nonlinear (with a ...
equation 浙江大学硕士论文 第一章导论 1978年Y.Kuramoto[1】在反应扩散系统的耗散系统结构以及1977年 Sivashinsky【3】在火焰燃烧和流体力学不稳定分析中,分别独立的得到如下的 Kuramoto-Sivashinsky型方程(以下简称KS方程)。后来,又在Navier—Stokes方 程的分岔解[4】和粘性膜流动【5]中得到这类方程。 KS型方程 疵...
Abstract A consistent Riccati expansion (CRE) method is developed for a special Kuramoto–Sivashinsky (KS) equation and we prove the general KS equation is non-CRE solvable. Furthermore, we obtain the soliton–cnoidal wave interaction solution of the special KS equation....
Sivashinsky方程在有限时间区间[0,]上的精确控制.首先研究线性化K-S方程的精确控制,运 用ReimannLebesgue收敛定理以及Riese基函数的性质证明了在给定的时间>0,对于两个任意 给定的函数 0 (), 1 ( )属于一定的SoboIev空间,总能找到一个控制函数使得线性化K-S方程 ...
P. Stinis , Stochastic optimal prediction for the Kuramoto–Sivashinski equation, Multiscale Model. Simul. 2 (2004), pp. 580–612.P. Stinis, Stochastic optimal prediction for the Kuramoto-Sivashinsky equa- tion, Mult. Scale. Simul. 5 (2004), pp. 580-612....
Periodic waves are investigated in a system composed of a Kuramoto-Sivashinsky - Korteweg-de Vries (KS-KdV) equation, which is linearly coupled to an extra linear dissipative equation. The model describes, e.g., a two-layer liquid film flowing down an inclined plane. It has been recently ...
求解kuramoto-sivashinsky方程的有限体积一次元方法
kuramoto-sivashinsky-equation 例句 释义: 全部 更多例句筛选 1. On Bifurcation from Steady-State Solutions to Rotating Waves in the Kuramoto-Sivashinsky Equation 方程中定常解分歧到旋转波解的一个注记 service.ilib.cn© 2025 Microsoft 隐私声明和 Cookie 法律声明 广告 帮助 反馈...
The Kuramoto–Sivashinsky (KS) equation, a canonical nonlinear evolution equation, crops up in mathematical modeling of several physical phenomena indicating reaction–diffusion systems, unstable drift waves in plasmas, pattern formation on thin hydrodynamic films, flame front instability, long waves on th...
KS Govinder,R Narain,JE Okeke 摘要: Lie symmetry method is used to perform detailed analysis on a class of KS equations. It is shown that the Lie algebra of the equation spanned by the vector fields of dilations in time and space are lost as a result of the linearity of the equation...