The topological degree method for equations of the Navier-Stokes type. (English) Zbl 0991.47052

Summary: We obtain results of existence of weak solutions in the Hopf sense of the initial boundary value problem for the generalized Navier-Stokes equations containing perturbations of retarded type. The degree theory for maps \(A-g\), where \(A\) is invertible and \(g\) is \({\mathcal A}\)-condensing, is used.


47J25 Iterative procedures involving nonlinear operators
47H11 Degree theory for nonlinear operators
76D05 Navier-Stokes equations for incompressible viscous fluids
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