Well-posedness and global in time behavior for $L^p$-mild solutions to the Navier-Stokes equation on the hyperbolic space

Braden Balentine

We study mild solutions to the Navier-Stokes equation on the $n$-dimensional hyperbolic space ${\mathbb{H}}^n$, $n\ge 2$. We use dispersive and smoothing estimates proved by Pierfe…