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arXiv · 2207.06459

Stationary solutions for the fractional Navier-Stokes-Coriolis system in Fourier-Besov spaces

Leithold L. Aurazo-Alvarez
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Abstract

In this work we prove the existence of stationary solutions for the tridimensional fractional Navier-Stokes- Coriolis in critical Fourier-Besov spaces. We first deal with the non-stationary fractional Navier-Stokes-Coriolis and in this framework we get the existence of stationary solutions. Also we state a kind of stability of these non-stationary solutions which applied to the stationary case permits to conclude that, under suitable conditions, non-stationary solutions converge to the stationary ones when the time goes to infinity. Finally we establish a relation between the external force and the Coriolis parameter in order to get a unique solution for the stationary system.

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Leithold L. Aurazo-Alvarez. 2022-07-13. Stationary solutions for the fractional Navier-Stokes-Coriolis system in Fourier-Besov spaces. https://arxiv.org/abs/2207.06459

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