On Bifurcation from Steady-State Solutions to Rotating Waves in the Kuramoto-Sivashinsky Equation

被引：1
作者：
李常品
杨忠华
陈关荣
机构：
[1] Shanghai 200444
[2] P.R. China
[3] Department of Electronic Engineering
[4] Shanghai Normal University
[5] Shanghai University
[6] City University of Hong Kong
[7] Department of Mathematics
[8] Shanghai 200234
来源：
Journal of Shanghai University | 2005年 / 04期
关键词：
bifurcation; nonlinear Galerkin method; Kuramoto-Sivashinsky(K-S);
D O I：
暂无
中图分类号：
TB11 [工程数学];
学科分类号：
0701 ; 070104 ;
摘要：
In this paper, we consider the detection and calculation of bifurcation from nontrivial steady-state solutions to rotating wave solutions of the Kuramoto-Sivashinsky(K-S) equation by using the nonlinear Galerkin method. Numerical results show the efficiency and advantages of the nonlinear Galerkin method over the conventional Galerkin method in this application.
引用
收藏
页码：286 / 291
页数：6
相关论文
共 50 条
  • [21] Steady-state solutions of a mass-conserving bistable equation with a saturating flux
    Burns, M.
    Grinfeld, M.
    JOURNAL OF ENGINEERING MATHEMATICS, 2012, 77 (01) : 163 - 180
  • [22] Steady-state solutions of a mass-conserving bistable equation with a saturating flux
    M. Burns
    M. Grinfeld
    Journal of Engineering Mathematics, 2012, 77 : 163 - 180
  • [23] INTERMITTENCY NEAR A CODIMENSION THREE STEADY-STATE BIFURCATION
    Blomgren, Peter
    Martinez, Joan Manuel
    Palacios, Antonio
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2011, 21 (01): : 287 - 304
  • [24] Steady-State Bifurcation and Spatial Patterns of a Chemical Reaction System
    Wang, Jingjing
    Jia, Yunfeng
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2023, 33 (11):
  • [25] Steady-state solutions in nonlocal neuronal networks
    Zhang, Linghai
    DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS, 2005, 2 (01) : 71 - 100
  • [26] Computing steady-state solutions for a free boundary problem modeling tumor growth by Stokes equation
    Hao, Wenrui
    Hauenstein, Jonathan D.
    Hu, Bei
    McCoy, Timothy
    Sommese, Andrew J.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2013, 237 (01) : 326 - 334
  • [27] Bifurcation of a Main Steady-State Viscous Fluid Flow in a Plane Divergent Channel
    Akulenko, L. D.
    Kumakshev, S. A.
    FLUID DYNAMICS, 2005, 40 (03) : 359 - 368
  • [28] Bifurcation of a Main Steady-State Viscous Fluid Flow in a Plane Divergent Channel
    L. D. Akulenko
    S. A. Kumakshev
    Fluid Dynamics, 2005, 40 : 359 - 368
  • [29] BIFURCATION FROM TWO EQUILIBRIA OF STEADY STATE SOLUTIONS FOR NON-REVERSIBLE AMPLITUDE EQUATIONS
    Xu, Yancong
    Xu, Rui
    Yang, Yu
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2017, 7 (04): : 1448 - 1462
  • [30] STABLE STEADY-STATE SOLUTIONS OF SOME BIOLOGICAL AGGREGATION MODELS
    Potts, Jonathan R.
    Painter, Kevin J.
    SIAM JOURNAL ON APPLIED MATHEMATICS, 2021, 81 (03) : 1248 - 1263
12345