摘要
Motivated by the results of J. Y. Chemin in "J. Anal. Math., 77, 1999, 27- 50" and G. Furioli et al in "Revista Mat. Iberoamer., 16, 2002, 605-667", the author considers further regularities of the mild solutions to Navier-Stokes equation with initial data uo ∈ L^d(R^d). In particular, it is proved that if u C ∈([0, T^*); L^d(R^d)) is a mild solution of (NSv), then u(t,x)- e^vt△uo ∈ L^∞((0, T);B2/4^1,∞)~∩L^1 ((0, T); B2/4^3 ,∞) for any T 〈 T^*.
基金
the National Natural Science Foundation of China(Nos.10525101,10421101)
the 973 Project of the Ministry of Science and Technology of China and the innovation grant from Chinese Academy of Sciences.