Existence and analyticity of mild solutions for the 3D rotating Navier–Stokes equations

[1]  Sanghyuk Lee,et al.  Dispersive estimates for the Navier-Stokes equations in the rotational framework , 2014, Advances in Differential Equations.

[2]  Ryo Takada,et al.  Global well-posedness and ill-posedness for the Navier–Stokes equations with the Coriolis force in function spaces of Besov type , 2014 .

[3]  Qiao Liu,et al.  On the Cauchy problem for the fractional drift-diffusion system in critical Besov spaces , 2014 .

[4]  Baoxiang Wang,et al.  Analyticity for the (generalized) Navier-Stokes equations with rough initial data , 2013, 1310.2141.

[5]  Ryo Takada,et al.  Global solutions for the Navier-Stokes equations in the rotational framework , 2013 .

[6]  Ryo Takada,et al.  Time periodic solutions to the Navier–Stokes equations in the rotational framework , 2012 .

[7]  B. Han,et al.  Global existence results for the Navier-Stokes equations in the rotational framework , 2012, 1205.1561.

[8]  S. Cui,et al.  Regularizing rate estimates for mild solutions of the incompressible magneto-hydrodynamic system , 2012 .

[9]  S. Cui,et al.  Regularizing and decay rate estimates for solutions to the Cauchy problem of the Debye–Hückel system , 2012 .

[10]  R. Danchin,et al.  Fourier Analysis and Nonlinear Partial Differential Equations , 2011 .

[11]  S. Cui,et al.  Existence and regularizing rate estimates of solutions to a generalized magneto-hydrodynamic system in pseudomeasure spaces , 2011, Annali di Matematica Pura ed Applicata.

[12]  T. Yoneda,et al.  On dispersive effect of the Coriolis force for the stationary Navier–Stokes equations , 2010, 1007.1181.

[13]  Yoshihiro Shibata,et al.  The Fujita–Kato approach to the Navier–Stokes equations in the rotational framework , 2010 .

[14]  O. V. Fuentes Kelvin's discovery of Taylor columns , 2009 .

[15]  Y. Giga,et al.  Uniform global solvability of the rotating Navier-Stokes equations for nondecaying initial data , 2008 .

[16]  L. Debnath Geophysical Fluid Dynamics , 2008 .

[17]  B. Desjardins,et al.  Mathematical Geophysics: An Introduction to Rotating Fluids and the Navier-Stokes Equations , 2006 .

[18]  Alex Mahalov,et al.  3D Navier-Stokes and Euler equations with initial data characterized by uniformly large vorticity , 2001 .

[19]  Herbert Koch,et al.  Well-posedness for the Navier–Stokes Equations , 2001 .

[20]  M. Yamazaki The Navier-Stokes equations in the weak- $L^n$ space with time-dependent external force , 2000 .

[21]  E. Titi,et al.  Remark on the Rate of Decay of Higher Order Derivatives for Solutions to the Navier–Stokes Equations in Rn☆ , 2000 .

[22]  Alex Mahalov,et al.  Global regularity of 3D rotating Navier-Stokes equations for resonant domains , 1999, Appl. Math. Lett..

[23]  Marco Cannone,et al.  A generalization of a theorem by Kato on Navier-Stokes equations , 1997 .

[24]  E. Titi,et al.  Exponential decay rate of the power spectrum for solutions of the Navier--Stokes equations , 1995 .

[25]  G. Mockenhaupt A restriction theorem for the Fourier transform , 1991 .

[26]  R. Temam,et al.  Gevrey class regularity for the solutions of the Navier-Stokes equations , 1989 .

[27]  Takashi Kato,et al.  StrongLp-solutions of the Navier-Stokes equation inRm, with applications to weak solutions , 1984 .

[28]  A. E. Gill Atmosphere-Ocean Dynamics , 1982 .

[29]  G. Taylor Motion of Solids in Fluids When the Flow is Not Irrotational , 1917 .

[30]  J. Proudman On the motion of solids in a liquid possessing vorticity , 1916 .

[31]  B. Desjardins,et al.  Anisotropy and dispersion in rotating fluids , 2002 .

[32]  Z. Grujić The geometric structure of the super-level sets and regularity for 3D Navier-Stokes equations , 2001 .

[33]  Alex Mahalov,et al.  Regularity and integrability of 3D Euler and Navier–Stokes equations for rotating fluids , 1997 .

[34]  C. Foias What do the Navier-Stokes equations tell us about turbulence , 1995 .

[35]  Edriss S. Titi,et al.  Regularity of solutions and the convergence of the galerkin method in the ginzburg-landau equation , 1993 .

[36]  H. Triebel Theory Of Function Spaces , 1983 .

[37]  Hiroshi Fujita,et al.  On the Navier-Stokes initial value problem. I , 1964 .

[38]  H. Poincaré Sur la précession des corps déformables , 1910, Bulletin astronomique.