NAVIER-STOKES EQUATIONS IN BESOV SPACE B-infinity,infinity(-s)(R-+(n))

作者：Jin Bum Ja^*

来源：Journal of the Korean Mathematical Society, 2013, 50(4): 771-795.

DOI：10.4134/JKMS.2013.50.4.771

• Besov space
• half space
• Navier-Stokes
• Stokes
• mild solution

In this paper we consider the Navier-Stokes equations in the half space. Our aim is to construct a mild solution for initial data in B-infinity,infinity(-alpha) (R-+(n)), 0 <alpha < 1. To do this, we derive the estimate of the Stokes flow with singular initial data in B-infinity,q(-alpha)(R-+(n)), 0 < alpha < 1, 1 <q <= infinity.

• 出版日期2013-7