Space-time decay of Navier-Stokes flows invariant under rotations

Abstract

Abstract. We show that the solutions to the non-stationary Navier–Stokes equations in Rd (d = 2, 3) which are left invariant under the action of discrete subgroups of the orthogonal group O(d) decay much faster as |x | → ∞ or t → ∞ than in generic case and we compute, for each subgroup, the precise decay rates in space-time of the velocity field. 1. Introduction an