Special Session 60: Nonlinear Evolution Equations and Related Topics

Boundedness and stabilization in some degenerate parabolic-elliptic-elliptic attraction-repulsion chemotaxis system

Yutaro Chiyo
Tokyo University of Science, Department of Mathematics
Japan
Co-Author(s):    Yutaro Chiyo
Abstract:
This talk deals with a degenerate parabolic-elliptic-elliptic attraction-repulsion chemotaxis system. In the repulsion-dominant case, boundedness and stabilization in the nondegenerate version were obtained by C.-Yokota (2022) and C. (2022) by using the repulsion effect. However, in the degenerate case, there is no result obtained by extracting the effects of the attraction and repulsion. The purpose of this talk is to establish boundedness and stabilization in a degenerate system in the repulsion-dominant case.