附加应力扩散项的Johnson-Segalman流体模型相图分析

Phase-plane Analysis of Johnson-Segalman Fluid Model with Reaction Diffusion

研究一类带附加应力扩散项的Johnson-Segalman模型,通过不变流形分析方法以及同宿轨与异宿轨的研究,刻画了该模型的相空间结构,并证明了一类具有三井位势的Hamilton系统同宿轨和异宿轨的存在性.

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.