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

2022/07/13 by Leithold L. Aurazo-Alvarez, Aurazo-Alvarez, Leithold L.
Mathematics · #35A01 #35Q30 #35Q35 #35Q86 #76D03 #76D05 #76U05 #76U60 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.2207.06459

openalex publication_date 2022/07/13 · openalex created_date 2022/07/16 · openalex updated_date 2026/07/28

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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