Blow up criterion for a hyperbolic–parabolic system arising from chemotaxis

In this paper, we investigate a hyperbolic–parabolic system arising from chemotaxis. A blow up criterion of local strong solutions to the model in RdRd is established based on the scaling invariance of the system. As a by-product, we prove a global-in-time well-posedness result when d=1d=1 for large initial data.