Global Existence and Uniqueness of the Solution to a Model of the Pattern Forming Process in E. coli Colonies

Abstract

In this paper we consider a Parabolic systems modeling bacteria pattern formation proposed by Aotani et al.(Jap. J. Indust. Appl. Math., 27:5–22, 2010). According to Yagi’s arguments (in Abstract Parabolic Evolution equations), we reduce them to corresponding evolution equations and show the existence of time global solutions.

Keywords

• chemotaxis
• bacterial colony patterns
• nonlinear parabolique system
• global existence

References

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