Abstract
We consider a sequence of the Dirichlet problems for steady Navier- Stokes equations in domains perforated with channels where are closed subsets of bounded domain containedin small neighborhoods of some lines. While the number I (s) of channels tends toinfinity as these small sets are thinned.We study the asymptotic behaviorof solutions us (x) to problems in domains with thin channels. Wefind conditions on perforated domains under which sequence of solutions converges to solution of homogenized problem as. The proof is based on the asymptotic expansion of us (x) and on pointwise and integral estimates of auxiliary functions which are solutions of model boundary value problems.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
