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

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Abstract.

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

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  1. Institut Girard Desargues, Université Lyon, 1, 21, avenue Claude Bernard, 69622, Villeurbanne Cedex, France

    Lorenzo Brandolese

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  1. Lorenzo Brandolese
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Correspondence to Lorenzo Brandolese.

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Brandolese, L. Space-time decay of Navier–Stokes flows invariant under rotations. Math. Ann. 329, 685–706 (2004). https://doi.org/10.1007/s00208-004-0533-2

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  • DOI: https://doi.org/10.1007/s00208-004-0533-2

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