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On the existence of weak solutions of a nonlinear mixed problem for nonhomogeneous fluids in a time dependent domain. (English) Zbl 0591.76042

This paper represents a contribution to the vast literature on existence theory of weak solutions to the Navier-Stokes equations. The flow domain is a non-cylindrical tube and the boundary conditions prescribed on the tube walls are ones of known flux of fluid, as functions of time.
Reviewer: B.Straughan

MSC:

76D05 Navier-Stokes equations for incompressible viscous fluids
35Q30 Navier-Stokes equations
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