Large Time Behavior of Energy in Some Slowly Decreasing Solutions of the Navier-Stokes Equations

2009 ◽  
pp. 573-580
Author(s):  
Zdeněek Skalák
Keyword(s):  
Large Time ◽  
Stokes Equations ◽  
Large Time Behavior ◽  
Navier Stokes ◽  
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

scholarly journals Large time behavior of solutions to the compressible Navier–Stokes equations in an infinite layer under slip boundary condition

2016 ◽  
Vol 26 (14) ◽  
pp. 2617-2649 ◽  
Author(s):  
Abulizi Aihaiti ◽  
Shota Enomoto ◽  
Yoshiyuki Kagei
Keyword(s):  
Boundary Condition ◽  
Large Time ◽  
Stokes Equations ◽  
Slip Boundary Condition ◽  
Large Time Behavior ◽  
Navier Stokes ◽  
Time Behavior ◽  
Navier Stokes Equations ◽  
Infinite Layer ◽  
Slip Boundary

This paper is concerned with large time behavior of solutions to the compressible Navier–Stokes equations in an infinite layer of [Formula: see text] under slip boundary condition. It is shown that if the initial data is sufficiently small, the global solution uniquely exists and the large time behavior of the solution is described by a superposition of one-dimensional diffusion waves.

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