On weak solutions for generalized Oldroyd model for laminar and turbulent flows of nonlinear viscous–elastic fluid

Abstract

We consider the statement of an initial-boundary value problem for a generalized Oldroyd model describing both laminar and turbulent motions of a nonlinear viscous–elastic fluid. The operator interpretation of a posed problem is presented. The properties of operators forming the corresponding equations are investigated. We introduce approximating equations and prove their solvability. On that base the existence theorem for the operator equation equivalent to the stated initial-boundary value problem is proved.