Asymptotic conditions at infinity for the time-periodic Stokes problem in a system of pipes

作者：Skujus Mindaugas^*

来源：Analysis and Applications, 2016, 14(2): 233-268.

DOI：10.1142/S0219530514500444

• Time-periodic Stokes problem
• cylindrical outlets
• asymptotic conditions at infinity

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.

• 出版日期2016-3