3 papers
math.AP2026
Boundedness and asymptotic stability in a model for tuberculosis granuloma formation
Masaaki Mizukami, Yuya Tanaka
This paper deals with a problem which describes tuberculosis granuloma formation \begin{align*} \begin{cases} u_t = Îu - \nabla \cdot (u \nabla v) - uv - u + β, &x \in Ω,\ t>0,…
math.AP2024
Global solvability of a model for tuberculosis granuloma formation
Mario Fuest, Johannes Lankeit, Masaaki Mizukami
We discuss a nonlinear system of partial differential equations modelling the formation of granuloma during tuberculosis infections and prove the global solvability of the homogene…
math.AP2024
Location of blow-up points in fully parabolic chemotaxis systems with spatially heterogeneous logistic source
Mario Fuest, Johannes Lankeit, Masaaki Mizukami
We consider the fully parabolic, spatially heterogeneous chemotaxis-growth system \begin{align*} \begin{cases} u_t = Îu - \nabla\cdot(u\nabla v) + κ(x)u-μ(x)u^2, \\ v_t = Îv -…