The Kuramoto-Sivashinsky equation has a nonlinear convection term and second, third and fourth order spatial (boundary value) derivatives. Thus, this example illustrates the solution of a higher (fourth) order PDE. The four required boundary conditions (BCs) are taken from the analytical solution ...
Kuramoto–Sivashinsky equation Interaction wave solution 1. Introduction With the development of nonlinear science, nonlinear evolution equations have been used to describe certain phenomena in the fluid mechanics, plasma physics, optical fibers, and solid state physics [1], [2]. Many effective methods...
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...
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...
考虑下面的分数阶Kuramoto——Sivashinsky(K-S)方程: (1) 这里Du表示局部分数阶导数。 K-S方程有很强的物理背景,已有大量作者进行了研究([1、3、5])。 本文,我们在文献[1]研究的基础上,研究方程(1)的精确解.这对于物理学家探讨物理现象具有重要意义。 2预备知识 最近,由于局部分数阶导数在描述物理现象方面的...
关键词:Kuramoto—Sivashinsky方程;并行计算;交替分组方法;线性绝对稳定 中图分类号:O241.82 文献标志码:A ThealternatinggroupmethodfortheKuramoto—Sivashinskyequation ZUOJin—ming,ZHANGYao—ming,ZHANGTian—de,LINa (1.SchoolofScience,ShandongUniversityofTechnology,Zibo255049,Shandong,China; ...
It is shown that the bulk defect-deformational (DD) nanostructuring of isotropic solids can be described by a closed three-dimensional (3D) nonlinear DD equation of the Kuramoto-Sivashinsry (KS) type for the nonequilibrium defect concentration, derived here in the framework of the nonlocal ...
A numerical method is developed leading to algebraic systems based on generalized Lyapunov-Sylvester operators to approximate the solution of two-dimensional Kuramoto-Sivashinsky equation. It consists of an order reduction method and a finite difference discretization which is proved to be uniquely ...
Secondary instabilities in the stabilized Kuramoto-Sivashinsky equation. Physical Review E ( IF 2.2 ) Pub Date : 1994 Jan Misbah, Valance 中文翻译: 稳定的Kuramoto-Sivashinsky方程中的次要不稳定性。 更新日期:2017-01-31 点击分享 点击收藏 阅读更多本刊新发论文 本刊介绍/投稿指南 ...
他推导出描述振荡场相位不稳定性的藏本–Sivashinsky 方程，这一方程被认为是时空混沌（spatiotemporal chaos）的首例理论模型。。此外，他还是耦合振子网络中所谓奇美拉态（chimera states）发现者。他的其他研究还包括反应-扩散系统中的复 Ginzburg–Landau 方程的推导，以及耦合振子系统中的同步现象的研究。其最具代表性...