The Maximum Regularity Property of the Steady Stokes Problem Associated with a Flow Through a Profile Cascade

We deal with a steady Stokes-type problem, associated flow of Newtonian incompressible fluid through spatially periodic profile cascade. The used mathematical model is based on the reduction to one spatial period, represented by bounded 2D domain $\varOmega $ . corresponding Stokes–type problem formulated means Stokes equation, equation continuity and three types boundary conditions: conditions periodicity curves $\varGamma _{\hspace {-1.1pt} 0}$ 1}$ , Dirichlet \mathrm {in}}$ p}$ an artificial “do nothing”–type condition {out}}$ (See Fig. 1.) explain level weak solutions sense in which last satisfied. show that, although not smooth different meet corners considered has strong solution so called maximum regularity property.