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Phaseplane Analysis of JohnsonSegalman Fluid Model with Reaction Diffusion

LI Songtao, ZHANG Xuli, HUANG Mingyou   

  1. College of Mathematics, Jilin University, Changchun 130012, China
  • Received:2007-08-28 Revised:1900-01-01 Online:2008-07-26 Published:2008-07-26
  • Contact: LI Songtao

Abstract: In this paper, we considered a class of Johnson-Segalman (JS) models involving reaction diffusion. The model is prsented as nonlinear reaction diffusion equations. By virtue of invariant manifolds and study of homoclinic and heteroclinic orbits, we described the structure of phase plane of JS model and gave enlighten global results on homoclinic and heteroclinic bifurcation in a Hamiltonian system with 3wells potential.

Key words: 3-wells potential, homoclinic and heteroclinic orbit, JohnsonSegalman fluid model

CLC Number: 

  • O241.7