Nonlinear stability of traveling waves to a parabolic-hyperbolic system modeling chemotaxis with periodic perturbations

作者：Jin, Hai -Yang; Zou, Feifei^*

来源：Journal of Differential Equations, 2023, 352: 23-66.

DOI：10.1016/j.jde.2022.12.033

• Chemotaxis
• Traveling wave solutions
• Nonlinear stability
• Periodic perturbations
• Energy estimates

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.