Frequency decay for Navier-Stokes stationary solutions

2017/12/15 by Diego Chamorro, Chamorro, Diego, Oscar Jarrín +3
Mathematics · Engineering · #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations #Thermoelastic and Magnetoelastic Phenomena

paper · pdf · doi:10.48550/arxiv.1712.05753

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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