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On the corner singularities of the Stokes flow in axisymmetric domains. (English) Zbl 0913.76022

Summary: We study Stokes equations in tubes with an abrupt change of diameter. Our main goal is to investigate the asymptotic behaviour of solution near the corners. In an axially-symmetric tube we specify the corner singularity and derive some consequences for the construction of finite element mesh.

MSC:

76D07 Stokes and related (Oseen, etc.) flows
76M10 Finite element methods applied to problems in fluid mechanics
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