Форма представления | Статьи в зарубежных журналах и сборниках |
Год публикации | 2011 |
Язык | английский |
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Обносов Юрий Викторович, автор
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Библиографическое описание на языке оригинала |
Obnosov Yu.V. Three-phase eccentric annulus subjected to a potential field induced by arbitrary singularities. Quart. Appl. Math. 69 (2011), pp. 771-786. s0033-569x(2011)01242-8 |
Аннотация |
An infinite planar, three-component heterogeneous medium with a pair
of circles as interfaces between homogeneous zones forming an
eccentric annulus is considered for refraction of a potential field
on the two interfaces. The velocity field is generated by an
arbitrary system of singularities of arbitrary order, in congruity
with the Milne-Thomson case of a two-component medium and a single
circular interface. An exact analytical solution of the
corresponding ${\mathbb R}$-linear conjugation problem of two
Laplacian fields in the eccentrical annulus structure is derived in
the class of piece-wise meromorphic functions with its fixed
principal part. Three general cases of loci of the singularities
with respect to the interfaces are investigated. Flow nets
(isobars and streamlines) are presented.
|
Ключевые слова |
refraction, heterogeneous media, R-linear conjugation problem, analytic functions
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Название журнала |
Q APPL MATH
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URL |
http://www.ams.org/journals/qam/2011-69-04/S0033-569X-2011-01242-8/home.html |
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https://repository.kpfu.ru/?p_id=28656 |
Файлы ресурса | |
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Полная запись метаданных |
Поле DC |
Значение |
Язык |
dc.contributor.author |
Обносов Юрий Викторович |
ru_RU |
dc.date.accessioned |
2011-01-01T00:00:00Z |
ru_RU |
dc.date.available |
2011-01-01T00:00:00Z |
ru_RU |
dc.date.issued |
2011 |
ru_RU |
dc.identifier.citation |
Obnosov Yu.V. Three-phase eccentric annulus subjected to a potential field induced by arbitrary singularities. Quart. Appl. Math. 69 (2011), pp. 771-786. s0033-569x(2011)01242-8 |
ru_RU |
dc.identifier.uri |
https://repository.kpfu.ru/?p_id=28656 |
ru_RU |
dc.description.abstract |
Q APPL MATH |
ru_RU |
dc.description.abstract |
An infinite planar, three-component heterogeneous medium with a pair
of circles as interfaces between homogeneous zones forming an
eccentric annulus is considered for refraction of a potential field
on the two interfaces. The velocity field is generated by an
arbitrary system of singularities of arbitrary order, in congruity
with the Milne-Thomson case of a two-component medium and a single
circular interface. An exact analytical solution of the
corresponding ${\mathbb R}$-linear conjugation problem of two
Laplacian fields in the eccentrical annulus structure is derived in
the class of piece-wise meromorphic functions with its fixed
principal part. Three general cases of loci of the singularities
with respect to the interfaces are investigated. Flow nets
(isobars and streamlines) are presented.
|
ru_RU |
dc.language.iso |
ru |
ru_RU |
dc.subject |
refraction |
ru_RU |
dc.subject |
heterogeneous media |
ru_RU |
dc.subject |
R-linear conjugation problem |
ru_RU |
dc.subject |
analytic functions
|
ru_RU |
dc.title |
Three-phase eccentric annulus subjected to a potential field induced by arbitrary singularities |
ru_RU |
dc.type |
Статьи в зарубежных журналах и сборниках |
ru_RU |
|