Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9501847 | Journal of Differential Equations | 2005 | 27 Pages |
Abstract
We obtain the lower bounds of the temporal-spatial decays for weak solutions of the Navier-Stokes equationsC0(1+t)-5-2i4⩽â¥(1+|·|2)i/2u(·,t)â¥L2⩽C1(1+t)-5-2i4for i=1,2. The upper bound parts are estimated in several papers, for example (Bae and Jin (submitted) and He and Xin (Proc. Roy. Soc. Edinburg Section A 131(3) (2001) 597). By the interpolation arguments, we also haveC0(1+t)-54+α2⩽â¥(1+|x|2)α/2u(·,t)â¥L2⩽C1(1+t)-54+α2for 0⩽α⩽2.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Hyeong-Ohk Bae, Bum Ja Jin,