Global well-posedness and large-time behavior of 1D compressible Navier-Stokes equations with density-depending viscosity and vacuum in unbounded domains

2019 ◽  
Author(s):  
Kexin Li ◽  
Boqiang Lü ◽  
Yixuan Wang
Keyword(s):  
Large Time ◽  
Stokes Equations ◽  
Unbounded Domains ◽  
Large Time Behavior ◽  
Navier Stokes ◽  
Well Posedness ◽  
Time Behavior ◽  
Navier Stokes Equations

scholarly journals Decay rate of generalized solutions for equations of a viscous heat-conducting gas

2021 ◽  
Author(s):  
Zhilei Liang
Keyword(s):  
Large Time ◽  
Stokes Equations ◽  
Large Time Behavior ◽  
Ideal Gas ◽  
Generalized Solutions ◽  
Navier Stokes ◽  
Heat Conducting ◽  
Time Behavior ◽  
Navier Stokes Equations ◽  
Viscous Heat

The large time behavior is considered for the solutions of the Navier-Stokes equations for one-dimensional viscous polytropic ideal gas in unbounded domains. Using the local anti-derivatives functions technique, we obtain the power type decay estimates for the generalized solutions as time goes to infinity

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