  We investigate blow-up properties for the initial-boundary value problem of a
Keller-Segel model with consumption of chemoattractant when the spatial
dimension is three. Through a kinetic reformulation of the Keller-Segel model,
we first derive some higher-order estimates and obtain certain blow-up criteria
for the local classical solutions. These blow-up criteria generalize the
results in [4,5] from the whole space $\mathbb{R}^3$ to the case of bounded
smooth domain $\Omega\subset \mathbb{R}^3$. Lower global blow-up estimate on
$\|n\|_{L^\infty(\Omega)}$ is also obtained based on our higher-order
estimates. Moreover, we prove local non-degeneracy for blow-up points.

Analysis of PDEs