Special Session 178: Nonlinear Evolution Equations and Related Topics

Long-term behavior in a model for tuberculosis granuloma formation
Yuya Tanaka
Department of Mathematical Sciences, Kwansei Gakuin University
Japan
Co-Author(s):    Masaaki Mizukami
Abstract:
This talk deals with a model for tuberculosis granuloma formation. This model was proposed by Feng (J.\ Nonlinear Complex Data Sci.; 2024; 25; no. 1, 19-35), and moreover, global existence of classical/weak solutions was established in 2-/3-dimensional settings by Fuest, Lankeit and Mizukami (Nonlinear Anal.\ Real World Appl.; 2025; 85; Paper No. 104369, 14 pp). However, the long-term behavior of these solutions has remained open. The purpose of this talk is to show asymptotic stability of constant equilibria and grow-up of solutions. This is a joint work with Masaaki Mizukami (Kyoto University of Education).