КФУ. Карточка публикации. On the Solvability of the Problem of Saturated

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ФЕДЕРАЛЬНЫЙ УНИВЕРСИТЕТ

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ON THE SOLVABILITY OF THE PROBLEM OF SATURATED - UNSATURATED FILTRATION CONSOLIDATION

Форма представления

Статьи в зарубежных журналах и сборниках

Год публикации

2012

Язык

английский

Авторы, сотрудники КФУ

Павлова Мария Филипповна, автор

Рунг Елена Владимировна, автор

Библиографическое описание на языке оригинала

Pavlova M.F. On the Solvability of the Problem of Saturated-Unsaturated Filtration Consolidation/Pavlova M.F., Rung E.V. // Differential Equations. 2012. Vol. 48. No 7. P. 990-1004

Аннотация

Abstract|We prove the existence of a solution of the initial{boundary value problem modeling the process of liquid ¯ltration in a viscoelastic medium in the case of semipermeability on part of the boundary. To determine the generalized solution, we use the Kirchho? transform. We consider the case (most often used in applications) in which the range of the Kirchho? function is only part of the real line. To prove the existence theorem, we use the method of the semidiscretization with respect to the variable t and the Galerkin method.

Ключевые слова

filtration consolidation, difference schemes, penalty method, convergence of a difference scheme

Название журнала

DIFFERENTIAL EQUATIONS

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https://repository.kpfu.ru/?p_id=41598

Полная запись метаданных

Поле DC	Значение	Язык
dc.contributor.author	Павлова Мария Филипповна	ru_RU
dc.contributor.author	Рунг Елена Владимировна	ru_RU
dc.date.accessioned	2012-01-01T00:00:00Z	ru_RU
dc.date.available	2012-01-01T00:00:00Z	ru_RU
dc.date.issued	2012	ru_RU
dc.identifier.citation	Pavlova M.F. On the Solvability of the Problem of Saturated-Unsaturated Filtration Consolidation/Pavlova M.F., Rung E.V. // Differential Equations. 2012. Vol. 48. No 7. P. 990-1004	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/?p_id=41598	ru_RU
dc.description.abstract	DIFFERENTIAL EQUATIONS	ru_RU
dc.description.abstract	Abstract\|We prove the existence of a solution of the initial{boundary value problem modeling the process of liquid ¯ltration in a viscoelastic medium in the case of semipermeability on part of the boundary. To determine the generalized solution, we use the Kirchho? transform. We consider the case (most often used in applications) in which the range of the Kirchho? function is only part of the real line. To prove the existence theorem, we use the method of the semidiscretization with respect to the variable t and the Galerkin method.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	filtration consolidation	ru_RU
dc.subject	difference schemes	ru_RU
dc.subject	penalty method	ru_RU
dc.subject	convergence of a difference scheme	ru_RU
dc.title	On the Solvability of the Problem of Saturated - Unsaturated Filtration Consolidation	ru_RU
dc.type	Статьи в зарубежных журналах и сборниках	ru_RU