Dynamical Analysis on Traveling Wave of a Reaction-Advection-Diffusion Equation with Double Free Boundaries

Changqing Ji; Pan Yang

doi:10.4208/jpde.v34.n4.5

Dynamical Analysis on Traveling Wave of a Reaction-Advection-Diffusion Equation with Double Free Boundaries

Authors

Changqing Ji School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China
Pan Yang School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China

DOI:

https://doi.org/10.4208/jpde.v34.n4.5

Keywords:

Phase plane analysis, stationary solution, heteroclinic orbit, traveling wave solution.

Abstract

This paper investigates a reaction-advection-diffusion equation with double free boundaries. The stationary solution of the system is studied by phase plane analysis. Then, the scale logarithm change sequence method is introduced to show the exact heteroclinic of the system with corresponding parameters. Moreover, a complete description of the types of traveling wave solutions is given with different advection term coefficients.

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Published

2021-08-23

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Issue

Vol. 34 No. 4 (2021)

Section

Articles

How to Cite

Dynamical Analysis on Traveling Wave of a Reaction-Advection-Diffusion Equation with Double Free Boundaries. (2021). Journal of Partial Differential Equations, 34(4), 379-392. https://doi.org/10.4208/jpde.v34.n4.5