Global solutions to the rotating Navier-Stokes equations with large data in the critical Fourier-Besov spaces

Navier-Stokes equations for incompressible viscous fluids (76D05) General theory of rotating fluids (76U05) Navier-Stokes equations (35Q30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

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Global solutions for the Navier-Stokes equations in the rotational framework
Dispersive estimates for the Navier-Stokes equations in the rotational framework
Ill-posedness for the Navier-Stokes equations in critical Besov spaces \(\dot{B}_{\infty, q}^{- 1}\)
Self-similar solutions for active scalar equations in Fourier-Besov-Morrey spaces
Global well-posedness for Keller-Segel system in Besov type spaces
Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
Global solvability of the Navier-Stokes equations in spaces based on sum-closed frequency sets
Ill-posedness of the 3D-Navier-Stokes equations in a generalized Besov space near \(\mathrm{BMO}^{-1}\)
The Fujita-Kato approach to the Navier-Stokes equations in the rotational framework
Ill-posedness of the Navier-Stokes equations in a critical space in 3D
Global regularity of 3D rotating Navier-Stokes equations for resonant domains
On Gagliardo-Nirenberg type inequalities in Fourier-Herz spaces
Uniform global well-posedness of the Navier-Stokes-Coriolis system in a new critical space
Flows of non-Lipschitzian vector fields and Navier-Stokes equations
Global well-posedness for the Navier-Stokes equations with the Coriolis force in function spaces characterized by semigroups
Global well-posedness and ill-posedness for the Navier-Stokes equations with the Coriolis force in function spaces of Besov type
\(L^1\) maximal regularity for the Laplacian and applications
Strichartz estimates for the Euler equations in the rotational framework
On the Navier-Stokes initial value problem. I
On dispersive effect of the Coriolis force for the stationary Navier-Stokes equations
3D Navier-Stokes and Euler equations with initial data characterized by uniformly large vorticity
Global Existence Results for the Navier–Stokes Equations in the Rotational Framework in Fourier–Besov Spaces
Dispersive Effect of the Coriolis Force and the Local Well-Posedness for the Navier-Stokes Equations in the Rotational Framework
Fourier Analysis and Nonlinear Partial Differential Equations
Uniform global solvability of the rotating Navier-Stokes equations for nondecaying initial data
Semilinear heat equations and the navier-stokes equation with distributions in new function spaces as initial data
Global well-posedness and asymptotic behavior for Navier–Stokes–Coriolis equations in homogeneous Besov spaces
Well-posedness for the Navier-Stokes equations

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