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J. Korean Math. Soc. 2011; 48(6): 1153-1170
Printed November 1, 2011
https://doi.org/10.4134/JKMS.2011.48.6.1153
Copyright © The Korean Mathematical Society.
Spatial decay bounds of solutions to the Navier-Stokes equations for transient compressible viscous flow
Yan Liu, Hua Qiu, and Changhao Lin
Guangdong University of Finance, South China Agricultural University, South China Normal University
In this paper, spatial decay estimates for thetime dependent compressible viscous isentropic flow in a semi-infinite three dimensional pipe are derived. An upper bound for the total energy in terms of the initial boundary data is obtained as well. The results established in this paper may be viewed as a version of Saint-Venant's principle in transient compressible Navier-Stokes flow.
Keywords: Navier-Stokes equations, transient compressible viscous flow, spatial decay estimate, Saint-Venant's principle
MSC numbers: 35B30, 35B45, 35K55
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