Global well-posedness for the fractional Boussinesq-Coriolis system with stratification in a framework of Fourier-Besov type. (English) Zbl 1484.76083
The authors prove the global well-posedness for the fractional Boussinesq-Coriolis system with stratification in a Fourier-Besov space, based on Morrey spaces.
The result is uniform with respect to the Coriolis number and to the stratification parameter.
The authors cover the critical case of the dissipation, namely the half-Laplacian, in which the nonlocal dissipation has the same differential order as the nonlinearity and balances critically the scaling of the quadratic nonlinearities.
They also obtain well-posedness results in Fourier-Besov-Morrey spaces for the fractional Navier-Stokes-Coriolis system as well as for the Navier-Stokes equations with critical dissipation.
The result is uniform with respect to the Coriolis number and to the stratification parameter.
The authors cover the critical case of the dissipation, namely the half-Laplacian, in which the nonlocal dissipation has the same differential order as the nonlinearity and balances critically the scaling of the quadratic nonlinearities.
They also obtain well-posedness results in Fourier-Besov-Morrey spaces for the fractional Navier-Stokes-Coriolis system as well as for the Navier-Stokes equations with critical dissipation.
Reviewer: Emmanuel Grenier (Lyon)
MSC:
| 76U05 | General theory of rotating fluids |
| 76U60 | Geophysical flows |
| 76D03 | Existence, uniqueness, and regularity theory for incompressible viscous fluids |
| 76D50 | Stratification effects in viscous fluids |
| 35Q30 | Navier-Stokes equations |
Keywords:
Navier-Stokes-Boussinesq-Coriolis system; rotating fluid; stratification; fractional dissipation; global well-posedness; Fourier-Besov-Morrey spaceReferences:
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