Asymptotic conditions at infinity for the time-periodic Stokes problem in a system of pipes
Mindaugas Skujus · Analysis and Applications · 2014
A time-periodic Stokes problem set in a domain with cylindrical outlets to infinity is studied. We derive the generalized Green formula. It enables us to impose so-called asymptotic conditions at infinity which allow to determine a unique time-periodic solution. This method was proposed and applied for a steady Stokes problem by Nazarov and co-authors.