Citation
V. Sverak et Tp. Tsai, On the spatial decay of 3-D steady-state Navier-Stokes flows, COMM PART D, 25(11-12), 2000, pp. 2107-2117
Citations number
28
Categorie Soggetti
Mathematics
Journal title
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
ISSN journal
03605302
→ ACNP
Volume
25
Issue
11-12
Year of publication
2000
Pages
2107 - 2117
Database
ISI
SICI code
0360-5302(2000)25:11-12<2107:OTSDO3>2.0.ZU;2-P
Abstract
This note shows that any solution u of the Navier-Stokes equations in a 3-D
exterior domain which decays as O(\x\(-1)) at infinity has the optimal dec
ay del (k)u(x) = O(\x\(-1-k)) for k greater than or equal to 1, if the body
force f satisfies del (m)f(s) = O(\x\(-3-m)) for all m < k. The main tool
is an interior estimate for the Stokes system.