# Stokeslet and operator extension theory.

Revista Matemática de la Universidad Complutense de Madrid (1996)

- Volume: 9, Issue: 1, page 235-258
- ISSN: 1139-1138

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topPopov, 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 -

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