Stokeslet and operator extension theory.

Popov, I. Y.. "Stokeslet and operator extension theory.." Revista Matemática de la Universidad Complutense de Madrid 9.1 (1996): 235-258. <http://eudml.org/doc/44201>.

@article{Popov1996,
abstract = {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.},
author = {Popov, I. Y.},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {Corriente de fluidos; Algebra de operadores; Corriente de Stokes; Autofunciones; Viscosidad; Fluencia; -space; Pontryagin's space with indefinite metric; creeping flow; self-adjoint operator; flow in two channels; small opening; system of small openings; streamlines},
language = {eng},
number = {1},
pages = {235-258},
title = {Stokeslet and operator extension theory.},
url = {http://eudml.org/doc/44201},
volume = {9},
year = {1996},
}

TY - JOUR
AU - Popov, I. Y.
TI - Stokeslet and operator extension theory.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1996
VL - 9
IS - 1
SP - 235
EP - 258
AB - 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.
LA - eng
KW - Corriente de fluidos; Algebra de operadores; Corriente de Stokes; Autofunciones; Viscosidad; Fluencia; -space; Pontryagin's space with indefinite metric; creeping flow; self-adjoint operator; flow in two channels; small opening; system of small openings; streamlines
UR - http://eudml.org/doc/44201
ER -