Regularity of the Koch-Tataru solutions to Navier-Stokes system  

作　　者：Zhang Ping Zhang Ting 

机构地区：[1]Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China [2]Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China [3]Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China

出　　处：《Science China Mathematics》2012年第2期453-464,共12页中国科学：数学（英文版）

基　　金：support from the center.P.Zhang is partially supported by National Natural Science Foundation of China(Grant Nos.10421101 and 10931007);the innovation grant from the Chinese Academy of Sciences(Grant No.GJHZ200829);supported by the Program for New Century Excellent Talents in University,National Natural Science Foundation of China(Grant Nos.10871175,10931007 and 10901137);the Zhejiang Provincial Natural Science Foundation of China(Grant No.Z6100217)

摘　　要：In this paper,we shall prove that the Koch-Tataru solution u to the incompressible Navier-Stokes equations in Rd satisfies the decay estimates involving some borderline Besov norms with d 3.Moreover,u has a unique trajectory which is Hlder continuous with respect to the space variables.In this paper,we shall prove that the Koch-Tataru solution u to the incompressible Navier-Stokes equations in Rd satisfies the decay estimates involving some borderline Besov norms with d 3.Moreover,u has a unique trajectory which is Hlder continuous with respect to the space variables.

关 键 词：NAVIER-STOKES EQUATIONS LITTLEWOOD-PALEY theory trajectories 

分 类 号：O175.2[理学—数学]