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.
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)
