  In this paper, we study local uniform continuity of nonnegative weak
solutions to degenerate diffusion-drift equations in the form \[ u_{t} = \Delta
u^{m} + \nabla\cdot \left( B (x,t) \, u\right), \quad \text{for } m \geq 1 \]
assuming a vector field $B \in L^{p}_t L^{q}_{x}$. Regarding local H\"{o}lder
continuity, we provide a sharp condition on $p$ and $q$, which is referred to
as the subcritical region. In the critical region, the divergence-free
condition is essential to providing uniform continuity which depends on the
modulus continuity of $B$.
