Open AccessTime periodic second grade fluid flow in an infinite strip
Author(s) -
Neringa Klovienė
Publication year - 2009
Publication title -
lietuvos matematikos rinkinys
Language(s) - English
Resource type - Journals
eISSN - 2335-898X
pISSN - 0132-2818
DOI - 10.15388/lmr.2009.05
Subject(s) - uniqueness , hagen–poiseuille equation , sobolev space , mathematics , mathematical analysis , flow (mathematics) , newtonian fluid , pressure drop , flux (metallurgy) , mechanics , physics , geometry , materials science , metallurgy
Time periodic Poiseuille type solutions are studied for equations of the non-Newtonian second grade fluid in the two dimensional infinite strip. We prove the existence and uniqueness of the solution. Moreover, we obtain estimates of the solution in Sobolev spaces and show the relationships between the flux and the pressure drop.