Well-posedness for fractional Navier-Stokes equations in the largest critical spaces (B)over dot(infinity infinity)(-(2 beta-1))(R-n)

作者：Yu Xinwei; Zhai Zhichun^*

来源：Mathematical Methods in the Applied Sciences, 2012, 35(6): 676-683.

DOI：10.1002/mma.1582

• Navier-Stokes equations
• magnetohydrodynamics equations
• well-posedness
• Besov spaces

This note studies the well-posedness of the fractional NavierStokes equations in some supercritical Besov spaces as well as in the largest critical spaces ?8,8-(2 beta-1)(Rn) for beta???(1/2,1). Meanwhile, the well-posedness for fractional magnetohydrodynamics equations in these Besov spaces is also studied.

• 出版日期2012-4