LOCAL SOLVABILITY AND LOSS OF SMOOTHNESS OF THE NAVIER-STOKES-MAXWELL EQUATIONS WITH LARGE INITIAL DATA

[1]  Y. Giga,et al.  On the Ohm–Navier–Stokes system in magnetohydrodynamics , 1983 .

[2]  On the equations of the two-component theory in magnetohydrodynamics , 1984 .

[3]  D. Biskamp.  Nonlinear Magnetohydrodynamics: Outlook , 1993 .

[4]  Jiahong Wu.  Analytic results related to magneto-hydrodynamic turbulence , 2000 .

[5]  E. Titi,et al.  On the Domain of Analyticity for Solutions of Second Order Analytic Nonlinear Differential Equations , 2001 .

[6]  Pierre Gilles Lemarié-Rieusset,et al.  Recent Developments in the Navier-Stokes Problem , 2002 .

[7]  Kenji Nishihara,et al.  Lp-Lq estimates of solutions to the damped wave equation in 3-dimensional space and their application , 2003 .

[8]  L. Driel-Gesztelyi.  An Introduction to Magnetohydrodynamics , 2004 .

[9]  Y. Giga,et al.  Uniform Local Solvability for the Navier-Stokes Equations with the Coriolis Force , 2005 .

[10]  Y. Giga,et al.  On time analyticity of the Navier-Stokes equations in a rotating frame with spatially almost periodic data , 2008 .

[11]  Nader Masmoudi,et al.  Global well posedness for the Maxwell-Navier-Stokes system in 2D , 2010 .

[12]  T. Yoneda,et al.  Long-time Solvability of the Navier–Stokes Equations in a Rotating Frame with Spatially Almost Periodic Large Data , 2011 .

[13]  S. Ibrahim,et al.  Long-time solvability of the Navier-Stokes-Boussinesq equations with almost periodic initial large data , 2011, 1109.6088.

[14]  Sahbi Keraani,et al.  Global Small Solutions for the Navier-Stokes-Maxwell System , 2011, SIAM J. Math. Anal..