Time decay rates of the L3-norm for strong solutions to the Navier-Stokes equations in R3

2020 ◽  
Vol 485 (2) ◽  
pp. 123864
Author(s):  
V.T.T. Duong ◽  
D.Q. Khai ◽  
N.M. Tri
Keyword(s):  
Stokes Equations ◽  
Strong Solutions ◽  
Decay Rates ◽  
Navier Stokes ◽  
Time Decay ◽  
Navier Stokes Equations ◽  
Time Decay Rates

Temporal and spatial decays for the Navier–Stokes equations

2005 ◽  
Vol 135 (3) ◽  
pp. 461-478 ◽  
Author(s):  
Hyeong-Ohk Bae ◽  
Bum Ja Jin
Keyword(s):  
Decay Rate ◽  
Weak Solutions ◽  
Stokes Equations ◽  
Strong Solutions ◽  
Decay Rates ◽  
Navier Stokes ◽  
Spatial Decay ◽  
Navier Stokes Equations ◽  
Temporal Decay ◽  
Temporal And Spatial

We obtain spatial and temporal decay rates of weak solutions of the Navier–Stokes equations, and for strong solutions. For the spatial decay rate of the weak solutions, the power of the weight given by He and Xin in 2001 does not exceed 3/2;. However, we show the power can be extended up to 5/2;.

Temporal and spatial decays for the Navier–Stokes equations

2005 ◽  
Vol 135 (3) ◽  
pp. 461-478 ◽  
Author(s):  
Hyeong-Ohk Bae ◽  
Bum Ja Jin
Keyword(s):  
Decay Rate ◽  
Weak Solutions ◽  
Stokes Equations ◽  
Strong Solutions ◽  
Decay Rates ◽  
Navier Stokes ◽  
Spatial Decay ◽  
Navier Stokes Equations ◽  
Temporal Decay ◽  
Temporal And Spatial

We obtain spatial and temporal decay rates of weak solutions of the Navier–Stokes equations, and for strong solutions. For the spatial decay rate of the weak solutions, the power of the weight given by He and Xin in 2001 does not exceed 3/2;. However, we show the power can be extended up to 5/2;.

scholarly journals Time decay rates for the coupled modified Navier-Stokes and Maxwell equations on a half space

2021 ◽  
Vol 6 (12) ◽  
pp. 13423-13431
Author(s):  
Jae-Myoung Kim ◽  
Keyword(s):  
Decay Rate ◽  
Half Space ◽  
Spectral Decomposition ◽  
Maxwell Equations ◽  
Strong Solutions ◽  
Decay Rates ◽  
Stokes Operator ◽  
Navier Stokes ◽  
Time Decay ◽  
Time Decay Rates

<abstract><p>This paper is concerned with time decay rates of the strong solutions of an incompressible the coupled modified Navier-Stokes and Maxwell equations in a half space $ \mathbb{R}^3_+ $. With the use of the spectral decomposition of the Stokes operator and $ L^p-L^q $ estimates developed by Borchers and Miyakawa <sup>[<xref ref-type="bibr" rid="b2">2</xref>]</sup>, we study the $ L^2 $-decay rate of strong solutions.</p></abstract>

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