KFU. Card publication. On the Solvability of the Problem of Saturated

KAZAN
FEDERAL UNIVERSITY

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

Form of presentation

Articles in international journals and collections

Year of publication

2012

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Authors, employees of KFU

Pavlova Mariya Filippovna, author

Rung Elena Vladimirovna, author

Bibliographic description in the original language

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

Annotation

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.

Keywords

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

The name of the journal

DIFFERENTIAL EQUATIONS

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=41598&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Pavlova Mariya Filippovna	ru_RU
dc.contributor.author	Rung Elena Vladimirovna	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/eng/?p_id=41598&p_lang=2	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	Articles in international journals and collections	ru_RU