On dispersive effect of the Coriolis force for the stationary Navier-Stokes equations

2010/07/07 by Paweł Konieczny, Konieczny, Paweł, Tsuyoshi Yoneda +1 · 2 citations
Engineering · Mathematics · #35Q30 #75D05 #Advanced Mathematical Physics Problems #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #Mathematical Physics (math-ph) #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.1007.1181

openalex publication_date 2010/07/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The dispersive effect of the Coriolis force for the stationary Navier-Stokes equations is investigated. The effect is of a different nature than the one shown for the non-stationary case by J. Y. Chemin, B. Desjardins, I. Gallagher and E. Grenier. Existence of a unique solution is shown for arbitrary large external force provided the Coriolis force is large enough. The analysis is carried out in a new framework of the Fourier-Besov spaces. In addition to the stationary case counterparts of several classical results for the non-stationary Navier-Stokes problem have been proven.

Citations

• Regularity and integrability of 3D Euler and Navier–Stokes equations for rotating fluids

Cited by

• The rotating periodic, spiral-like almost periodic and spiral-like almost automorphic solutions of Navier-Stokes equations with the Coriolis force
• Besov mixed-Morrey spaces: On an Application to the Navier-Stokes Equations

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