Asymptotic profile of a parabolic-hyperbolic system with boundary effect arising from tumor angiogenesis

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:259

Article

Mei, Ming^1,2  Peng, Hongyun³  Wang, Zhi-An⁴ 

[1] Champlain Coll St Lambert, Dept Math, Quebec City, PQ J4P 3P2, Canada

[2] McGill Univ, Dept Math & Stat, Montreal, PQ H3A 2K6, Canada

[3] S China Univ Technol, Sch Math, Guangzhou 510641, Guangdong, Peoples R China

[4] Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China

关键词: Chemotaxis;    Traveling wave solutions;    Asymptotic stability;    Boundary effect;    Energy estimates;   

DOI  :  10.1016/j.jde.2015.06.022

来源: Elsevier

【 摘 要 】

This paper concerns a parabolic hyperbolic system on the half space R+ with boundary effect. The system is derived from a singular chemotaxis model describing the initiation of tumor angiogenesis. We show that the solution of the system subject to appropriate boundary conditions converges to a traveling wave profile as time tends to infinity if the initial data is a small perturbation around the wave which is shifted far away from the boundary but its amplitude can be arbitrarily large. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

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