## Abstract

Consider the equations of Navier-Stokes in the exterior of a rotating domain. It is shown that, after rewriting the problem on a fixed domain Ω, the solution of the corresponding Stokes equation is governed by a *C*
_{0}-semigroup on *L*
_{σ}
^{p}(Ω), 1 < *p* < ∞, with generator . Moreover, for and initial data *u*
_{0} ∈ *L*
_{σ}
^{p}(Ω), we prove the existence of a unique local mild solution to the Navier-Stokes problem.

## Comments (0)