Title of article :
Phragmén–Lindelöf alternative result for the Navier–Stokes
equations for steady compressible viscous flow
Author/Authors :
Changhao Lin، نويسنده , , Haobin Li، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2008
Abstract :
In this paper, the authors consider the Navier–Stokes equations for steady compressible viscous flow in three-dimensional cylindrical
domain. A differential inequality for appropriate energy associated with the solutions of the Navier–Stokes isentropic flow
in semi-infinite pipe is derived, from which the authors show a Phragmén–Lindelöf alternative result, i.e. the solutions for steady
compressible viscous N–S flow problem either grow or decay exponentially as the distance from the entry section tends to infinity.
In the decay case, the authors indicate how to bound explicitly the total energy in terms of data.
© 2007 Elsevier Inc. All rights reserved
Keywords :
Navier–Stokes equations , Steady compressible viscous flow , Phragmén–Lindel?f alternative , decay estimates
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications