Frequency decay for Navier-Stokes stationary solutions

15 Dec 2017  ·  Chamorro Diego LaMME, Jarrin Oscar LaMME, Lemarié-Rieusset Pierre Gilles LaMME ·

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. read more

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Analysis of PDEs