Optimal convergence rate of the vanishing shear viscosity limit for compressible Navier-Stokes equations with cylindrical symmetry

2021 ◽  
Vol 146 ◽  
pp. 99-126
Author(s):  
Huanyao Wen ◽  
Tong Yang ◽  
Xinhua Zhao ◽  
Changjiang Zhu
Keyword(s):  
Convergence Rate ◽  
Shear Viscosity ◽  
Stokes Equations ◽  
Cylindrical Symmetry ◽  
Navier Stokes ◽  
Optimal Convergence Rate ◽  
Navier Stokes Equations ◽  
Optimal Convergence ◽  
Viscosity Limit

scholarly journals CONVERGENCE RATE FOR THE COMPRESSIBLE NAVIER–STOKES EQUATIONS WITH EXTERNAL FORCE

2006 ◽  
Vol 03 (03) ◽  
pp. 561-574 ◽  
Author(s):  
SEIJI UKAI ◽  
TONG YANG ◽  
HUIJIANG ZHAO
Keyword(s):  
Convergence Rate ◽  
Stokes Equations ◽  
Stationary Solutions ◽  
Navier Stokes ◽  
Optimal Convergence Rate ◽  
Potential Force ◽  
Stationary Potential ◽  
Navier Stokes Equations ◽  
The Stability ◽  
External Forces

For the compressible Navier–Stokes equations with a stationary potential force, the stability of the stationary solutions was studied by Matsumura and Nishida. The convergence rate to the stationary solutions in time was later studied by Deckelnick which was improved by Shibata and Tanaka for more general external forces. This paper deals with the case for the stationary potential force under some smallness condition, to establish an almost optimal convergence rate in L2(ℝN)-norm for N ≥ 3.

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