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Well-posedness of the Prandtl boundary layer equations for the upper convected Maxwell fluid. (English) Zbl 1375.35327

Summary: We prove the well-posedness of the Prandtl boundary layer equations for the upper convected Maxwell fluid under the assumption that the stress tensor is strictly positive definite.

MSC:

35Q30 Navier-Stokes equations
35B30 Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs
76A10 Viscoelastic fluids
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