Díaz Palencia, José LuisRahman, S.Khan, M.Yin, Guang-Zhong2023-02-282023-02-2820221776-0852https://hdl.handle.net/10641/3289Carreau fuids are a source of research from both theoretical and applied approaches. They have been considered to model diferent non-newtonian phenomena such as blood fow, plasma and viscoeslastic materials. The purpose of this study is to develop the global regularity criteria for a Carreau fuid in two dimensions fowing in a strip. Firstly, a regularity criteria is shown for the initial set ( u10, u20) ∈ H1(Ω) where Ω = [0, L]× [0, ∞). Secondly, the analysis focuses on a regularity criteria when ( u10, u20) ∈ L4(Ω) and, lastly, similar results are obtained for ( u10, u20) ∈ H2(Ω) while the fuid velocity vertical component, u2(x, y), is such that 휕u2 휕x ∈ L4(Ω) and (휕∇u2 휕y , Δu2 ) ∈ L2(Ω).engAtribución-NoComercial-SinDerivadas 3.0 Españahttp://creativecommons.org/licenses/by-nc-nd/3.0/es/Carreau fuidTwo Dimensional fuidUnsteady fowRegularity criterionjournal articleopen access10.1007/s44198-022-00057-6