期刊文献+

KdV-Burgers-Kuramoto方程行波解的不稳定性(英文)

Instability of Travelling Wave Solution of KdV-Burgers-Kuramoto Equation
下载PDF
导出
摘要 在这篇论文中我们研究KdV-Burgers-Kuramoto方程行波解的不稳定性,对于某些行波解我们有它的精确表达式,我们将证明它在H^1扰动下是非线性不稳定的. In this paper we study the instability of the travelling wave solution of the KdV-Burgers-Kuramoto equation.For some travelling wave solution with explicit expression,we prove that it is nonlinearly unstable under H^1 perturbations.
作者 季梅
出处 《应用数学》 CSCD 北大核心 2006年第S1期86-89,共4页 Mathematica Applicata
关键词 KdV-Burgers-Kuramoto方程 非线性稳定性 傅立叶变换 行波解 KdV-Burgers-Kuramoto equation Nonlinear stability Fourier transformation Travelling wave solution
  • 相关文献

参考文献7

二级参考文献23

  • 1Schechter,M.,Spectra of partial differential operators [M],American Elsevier Publishing Company,INC.-New York,1971.
  • 2Elgin,J.N.& Wu,X.S.,Stability of cellular states of the Kuramoto-Sivashinsky equation [J],SIAM J.Appl.Math.,56:6(1996),1621-1638.
  • 3Lan,Y.T.,The "cocoon" bifurcations in three-dimensional systems with two fixed points [J],Internat.J.Bifur.Chaos Appl.Sci.Engrg.,2:3(1992),543-558.
  • 4Feudel,F.,Feudel,U.& Brandenburg,A.,On the Bifurcation phenomena of the Kuramoto-Sivashinsky equation [J],Internat.J.Bifur.Chaos Appl.Sci.Engrg.,3:5(1993),1299-1303.
  • 5Kukavica,I.,Oscillations of solutions of the Kuramoto-Sivashinsky equation [J],Physica D,76:4(1994),369-374.
  • 6Dawson,S.P.& Mancho,A.M.,Collections of heteroclinic cycles in the Kuramoto-Sivashinsky equation [J],Physica D,100:3-4(1997),231-256.
  • 7Amdjadi,F.,Aston,P.J.& Plechac,P.,Symmetry breaking Hopf bifurcations in equations with 0(2)symmetry with application to the Kuramoto-Sivashinsky equation [J],J.Comput.Phys.,131:1(1997),181-192.
  • 8Tadmor,E.,The well-posedness of the Kuramoto-Sivashinsky equation [J],SIAM J.Math.Anal.,17:4(1986),884-893.
  • 9Goldstein,J.A.,Semigroups of linear operators and applications [M],Oxford University Press,New York,1985.
  • 10Shatah,J.& Strauss,W.,Spectral condition for instability [J],Contemporary Mathematics,255(2000),189-198.

共引文献2

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部