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

2003/04/28 by Lorenzo Brandolese, Brandolese, Lorenzo · 1 citation
Mathematics · #35B40 #35Q30 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35B40 #msc:35Q30

paper · pdf · doi:10.48550/arxiv.math/0304436

arxiv created 2003/04/28 · arxiv updated 2009/11/30

Abstract

We show that the solutions to the non-stationary Navier-Stokes equations in R^d, 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 the generic case and we compute, for each subgroup, the precise decay rates in space-time of the velocity field.

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