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arXiv · 1712.05753

Frequency decay for Navier-Stokes stationary solutions

Diego Chamorro·Oscar Jarrin·Pierre Gilles Lemarié-Rieusset
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Abstract

We consider stationary Navier-Stokes equations in R 3 with a regular external force and we prove exponential frequency decay of the solutions. Moreover, if the external force is small enough, we give a pointwise exponential frequency decay for such solutions according to the K41 theory. If a damping term is added to the equation, a pointwise decay is obtained without the smallness condition over the force.

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Diego Chamorro, Oscar Jarrin, Pierre Gilles Lemarié-Rieusset. 2017-12-15. Frequency decay for Navier-Stokes stationary solutions. https://arxiv.org/abs/1712.05753

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