On weak solutions of an initial-boundary value problem for the equation of motion of a viscoelastic fluid.
For space dimensions ranging from 2 to 4, the authors prove the unique existence of a weak solution describing the flow of an Oldroyd fluid. The proof is based on topological degree theory and on some properties of \(L\)-condensing mappings in Hilbert spaces.
scientific article; zbMATH DE number 2074907