Global existence of stationary solutions for the fractional
Navier-Stkoes-Coriolis system in critical Fourier-Besov-Morrey spaces
- Halima Srhiri
, - Fatima Ouidirne,
- Chakir Allalou
Fatima Ouidirne
Universite Sultan Moulay Slimane Faculte des Sciences et Techniques
Author ProfileChakir Allalou
Universite Sultan Moulay Slimane Faculte des Sciences et Techniques
Author ProfileAbstract
This study demonstrates the existence of stationary solutions for the
three-dimensional fractional Navier-Stokes-Coriolis system in critical
Fourier-Besov Morrey spaces. Initially, the focus is on the
non-stationary fractional Navier-Stokes-Coriolis system, and the
existence of stationary solutions is then established within this
framework. In addition, the study outlines a form of stability for these
non-stationary solutions, which when applied to the stationary case,
leads to the conclusion that, under appropriate conditions,
non-stationary solutions converge to the stationary ones as time
approaches infinity. Finally, a relationship between the external force
and the Coriolis parameter is established to obtain a unique solution
for the stationary system.Submitted to Mathematical Methods in the Applied Sciences Submission Checks Completed
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