Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4610011 | Journal of Differential Equations | 2015 | 24 Pages |
Abstract
This paper concerns a parabolic–hyperbolic system on the half space R+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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Ming Mei, Hongyun Peng, Zhi-An Wang,