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Solvability of evolution problems for viscious incompressible flow in domains with non-compact boundaries. (English) Zbl 0588.76044
One considers the question of solvability of initial-boundary value problems for the Stokes and Navier-Stokes equations in unbounded domains with non-compact boundaries assuming that the initial data and the external forces ar not square integrable over the whole domain. For the linear problem the sketch of the proof of the existence theorem is given.
MSC:
76D05 Navier-Stokes equations for incompressible viscous fluids
35Q30 Navier-Stokes equations
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