We present analytical solution of the Stokes problem in rotationally symmetric domains. This is then used to find the asymptotic behaviour of the solution in the vicinity of corners, also for Navier-Stokes equations. We apply this to construct very precise numerical finite element solution.

EUDML-ID : urn:eudml:doc:287828
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@article{702927,
     title = {Analytical solution of rotationally symmetric Stokes flow near corners},
     booktitle = {Applications of Mathematics 2013},
     series = {GDML\_Books},
     publisher = {Institute of Mathematics AS CR},
     address = {Prague},
     year = {2013},
     pages = {13-20},
     mrnumber = {MR3204426},
     zbl = {1340.76025},
     url = {http://dml.mathdoc.fr/item/702927}
}

Burda, Pavel; Novotný, Jaroslav; Šístek, Jakub. Analytical solution of rotationally symmetric Stokes flow near corners, dans Applications of Mathematics 2013, GDML_Books,  (2013), pp. 13-20. http://gdmltest.u-ga.fr/item/702927/