Finite traveling wave solutions in a degenerate cross-diffusion model for bacterial colony | Zendy

Peng Feng | Zendy; Zhengfang Zhou | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Finite traveling wave solutions in a degenerate cross-diffusion model for bacterial colony

Author(s) -

Peng Feng,

Zhengfang Zhou

Publication year - 2007

Publication title -

communications on pure andamp applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.077

H-Index - 42

eISSN - 1553-5258

pISSN - 1534-0392

DOI - 10.3934/cpaa.2007.6.1145

Subject(s) - degenerate energy levels , traveling wave , mathematical analysis , diffusion , stability (learning theory) , plane (geometry) , plane wave , mathematics , finite element method , physics , computer science , geometry , optics , quantum mechanics , machine learning , thermodynamics

In this paper we study the existence of finite traveling wave solutions in a degenerate cross-diffusion system modeling the growth of bacteria colony. The importance of establishing the existence lies in the fact that the analysis of the stability of the wave front provides partial answers to the intriguing spatial patterns of the colony. There have been very few results on the finite traveling wave solutions of degenerate parabolic system. One reason is that the traditional method often leads to phase plane analysis on higher dimension which is usually a difficult task. Our method in this paper is based on Schauder fixed point theorem and shooting arguments.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research