Global generalized solutions for a class of chemotaxis-consumption systems with generalized logistic source (Q2656620)

The author studies a model of chemotaxis with chemoattractant consumption, a general smooth chemotactic sensitivity tensor function and a general logistic type reaction term. Under suitable assumptions the initial boundary value problem in bounded domains of \(\mathbb{R}^n\) is shown to be well posed globally in time so that finite time blowup cannot occur for those systems.