Special Session 8: Recent Progress on Mathematical Analysis of PDEs Arising in Fluid Dynamics
Nonlinear stability of traveling waves to a parabolic-hyperbolic system modeling chemotaxis with periodic perturbations
Haiyang Jin
South China University of Technology Peoples Rep of China
Co-Author(s): Feifei Zou
Abstract:
We prove the nonlinear stability of large-amplitude traveling waves under space-periodic perturbations to
a parabolic-hyperbolic system derived from a singular chemotaxis model describing the initiation of tumor
angiogenesis. Compared with the previous results, we are able to prove the nonlinear stability of traveling
waves even though the perturbation oscillates at the far fields.