Operator version of the Stokeslet method in the theory of creeping flow is suggested. The approach is analogous to the zero-range potential one in quantum mechanics and is based on the theory of self-adjoint operator extensions in the space L2 and in the Pontryagin?s space with an indefinite metric. The problem of Stokes flow in two channels connected through a small opening is considered in the framework of this approach. The case of a periodic system of small openings is studied too. The picture of streamlines for such flow is obtained.
@article{urn:eudml:doc:44201,
title = {Stokeslet and operator extension theory.},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {9},
year = {1996},
pages = {235-258},
zbl = {0874.76018},
mrnumber = {MR1413276},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44201}
}
Popov, I. Y. Stokeslet and operator extension theory.. Revista Matemática de la Universidad Complutense de Madrid, Tome 9 (1996) pp. 235-258. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44201/