scholarly journals Decay rates for the incompressible Navier–Stokes flows in 3D exterior domains

2012 ◽  
Vol 263 (10) ◽  
pp. 3235-3269 ◽  
Author(s):  
Pigong Han
Keyword(s):  
Decay Rates ◽  
Navier Stokes ◽  
Exterior Domains ◽  
Stokes Flows

scholarly journals On stability of Navier-Stokes flows in exterior domains

1994 ◽  
Vol 128 (1) ◽  
pp. 1-31 ◽  
Author(s):  
Hideo Kozono ◽  
Takayoshi Ogawa
Keyword(s):  
Navier Stokes ◽  
Exterior Domains ◽  
Stokes Flows

scholarly journals Uniqueness of Steady Navier-Stokes Flows in Exterior Domains

2013 ◽  
Vol 56 (2) ◽  
pp. 323-337 ◽  
Author(s):  
Tomoyuki Nakatsuka
Keyword(s):  
Navier Stokes ◽  
Exterior Domains ◽  
Stokes Flows

scholarly journals Algebraic $L\sp 2$ decay for Navier-Stokes flows in exterior domains. II

1991 ◽  
Vol 21 (3) ◽  
pp. 621-640 ◽  
Author(s):  
Wolfgang Borchers ◽  
Tetsuro Miyakawa
Keyword(s):  
Navier Stokes ◽  
Exterior Domains ◽  
Stokes Flows

scholarly journals Algebraic L2 decay for Navier-Stokes flows in exterior domains

1990 ◽  
Vol 165 (0) ◽  
pp. 189-227 ◽  
Author(s):  
Wolfgang Borchers ◽  
Tetsuro Miyakawa
Keyword(s):  
Navier Stokes ◽  
Exterior Domains ◽  
Stokes Flows ◽  
L2 Decay

Weighted spatial decay rates for the Navier–Stokes flows in a half-space

2014 ◽  
Vol 144 (3) ◽  
pp. 491-510 ◽  
Author(s):  
Pigong Han
Keyword(s):  
Half Space ◽  
Stokes Flow ◽  
Projection Operator ◽  
Decay Rates ◽  
Navier Stokes ◽  
Convection Term ◽  
Spatial Decay ◽  
Stokes Flows ◽  
Spatial Derivatives ◽  
Derivatives Of

The weighted Lq − Lr-estimates for the Stokes flow are given in half-spaces. Furthermore, the weighted decays for the first and second spatial derivatives of the Navier-Stokes flows are also established, where the unboundedness of the projection operator is overcome by employing a decomposition for the convection term. The main results in this paper are inspired by the works of Bae and Jin.

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