Solvability for equations of motion of weak aqueous polymer solutions with objective derivative

In this paper we consider the initial-boundary problem for equations of motion of weak aqueous polymer solutions involving the regularized Jaumann’s derivative. We prove the weak solvability of the model in space E1={v:v∈L∞(0,T;V1),v′∈L2(0,T;V−1)}E1={v:v∈L∞(0,T;V1),v′∈L2(0,T;V−1)} using the topological approximation approach.