Version 1
: Received: 21 November 2021 / Approved: 22 November 2021 / Online: 22 November 2021 (15:03:54 CET)
How to cite:
Sun, X.; Liu, J.; Zhang, J. Global Well-Posedness for the Fractional Navier-Stokes-Coriolis Equations in Function Spaces Characterized by Semigroups. Preprints2021, 2021110408. https://doi.org/10.20944/preprints202111.0408.v1
Sun, X.; Liu, J.; Zhang, J. Global Well-Posedness for the Fractional Navier-Stokes-Coriolis Equations in Function Spaces Characterized by Semigroups. Preprints 2021, 2021110408. https://doi.org/10.20944/preprints202111.0408.v1
Sun, X.; Liu, J.; Zhang, J. Global Well-Posedness for the Fractional Navier-Stokes-Coriolis Equations in Function Spaces Characterized by Semigroups. Preprints2021, 2021110408. https://doi.org/10.20944/preprints202111.0408.v1
APA Style
Sun, X., Liu, J., & Zhang, J. (2021). Global Well-Posedness for the Fractional Navier-Stokes-Coriolis Equations in Function Spaces Characterized by Semigroups. Preprints. https://doi.org/10.20944/preprints202111.0408.v1
Chicago/Turabian Style
Sun, X., Jia Liu and Jihong Zhang. 2021 "Global Well-Posedness for the Fractional Navier-Stokes-Coriolis Equations in Function Spaces Characterized by Semigroups" Preprints. https://doi.org/10.20944/preprints202111.0408.v1
Abstract
We studies the initial value problem for the fractional Navier-Stokes-Coriolis equations, which obtained by replacing the Laplacian operator in the Navier-Stokes-Coriolis equation by the more general operator $(-\Delta)^\alpha$ with $\alpha>0$. We introduce function spaces of the Besove type characterized by the time evolution semigroup associated with the general linear Stokes-Coriolis operator. Next, we establish the unique existence of global in time mild solutions for small initial data belonging to our function spaces characterized by semigroups in both the scaling subcritical and critical settings.
Keywords
Cauchy problem; The generalized Navier-Stokes-Coriolis equation; Global well-posedness
Subject
Computer Science and Mathematics, Analysis
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
