Decay Rates for Strong Solutions to the Compressible Navier–Stokes Equations without Heat Conductivity

2021 ◽  
Vol 23 (3) ◽  
Author(s):  
Weilong Li ◽  
Wenjun Wang ◽  
Yinghui Wang ◽  
Lei Yao
Keyword(s):  
Heat Conductivity ◽  
Stokes Equations ◽  
Strong Solutions ◽  
Decay Rates ◽  
Navier Stokes ◽  
Navier Stokes Equations

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;.

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