Phragmén-Lindelöf type alternative results for the stokes flow equation
Yan Liu, Changhao Lin · Mathematical Inequalities & Applications · 2006
In this paper,we derive estimates for weighted energy expression for the solution of the Stokes flow equation in a semi-infinite plane channel by means of a second order differential inequality.From the estimates ,we establish Phragmn-Lindelf alternative that the solutions either grow or decay exponentially.In the case of decay,we also show how to bound the total weighted energy.