KFU. Card publication. On existence and uniqueness of a generalized solution to the Cauchy problem for the Lame system

KAZAN
FEDERAL UNIVERSITY

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ON EXISTENCE AND UNIQUENESS OF A GENERALIZED SOLUTION TO THE CAUCHY PROBLEM FOR THE LAME SYSTEM

Form of presentation

Articles in international journals and collections

Year of publication

2017

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Authors, employees of KFU

Danilova Anastasiya Vadimovna, author

Rung Elena Vladimirovna, author

Tumakov Dmitriy Nikolaevich, author

Bibliographic description in the original language

Anufrieva A.V., Rung E.V., Tumakov D.N. On existence and uniqueness of a generalized solution to the Cauchy problem for the Lame system // J. Fundam. Appl. Sci., 2017, 9(1S), 1548-1558.

Annotation

A boundary-value problem for the one-dimensional Lame system which arises when describing the processes of propagation and diffraction of elastic waves in the layers with continuous parametric variation has been considered. Similar properties of materials are discovered in geology, when elastic characteristics change with the depth due to the growth or weakening of loads of surrounding rocks. In the production of layer structures, changing continuously the proportions of substances, it is also possible to achieve sufficiently smooth variations of the properties of materials. This results in the appearance of layers with a continuous distribution of elastic characteristics. One of the approaches to the modeling of such structures is the stratified model of substances, another more accurate approach to the description of the structures with continuous variation of parameters is the gradient model.

Keywords

the Lame system, the Cauchy problem, a generalized solution, existence and uniqueness.

The name of the journal

Journal of Fundamental and Applied Sciences

URL

http://www.jfas.info/index.php/jfas/article/view/2867

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

https://repository.kpfu.ru/eng/?p_id=164240&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Danilova Anastasiya Vadimovna	ru_RU
dc.contributor.author	Rung Elena Vladimirovna	ru_RU
dc.contributor.author	Tumakov Dmitriy Nikolaevich	ru_RU
dc.date.accessioned	2017-01-01T00:00:00Z	ru_RU
dc.date.available	2017-01-01T00:00:00Z	ru_RU
dc.date.issued	2017	ru_RU
dc.identifier.citation	Anufrieva A.V., Rung E.V., Tumakov D.N. On existence and uniqueness of a generalized solution to the Cauchy problem for the Lame system // J. Fundam. Appl. Sci., 2017, 9(1S), 1548-1558.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=164240&p_lang=2	ru_RU
dc.description.abstract	Journal of Fundamental and Applied Sciences	ru_RU
dc.description.abstract	A boundary-value problem for the one-dimensional Lame system which arises when describing the processes of propagation and diffraction of elastic waves in the layers with continuous parametric variation has been considered. Similar properties of materials are discovered in geology, when elastic characteristics change with the depth due to the growth or weakening of loads of surrounding rocks. In the production of layer structures, changing continuously the proportions of substances, it is also possible to achieve sufficiently smooth variations of the properties of materials. This results in the appearance of layers with a continuous distribution of elastic characteristics. One of the approaches to the modeling of such structures is the stratified model of substances, another more accurate approach to the description of the structures with continuous variation of parameters is the gradient model.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	the Lame system	ru_RU
dc.subject	the Cauchy problem	ru_RU
dc.subject	a generalized solution	ru_RU
dc.subject	existence and uniqueness.	ru_RU
dc.title	On existence and uniqueness of a generalized solution to the Cauchy problem for the Lame system	ru_RU
dc.type	Articles in international journals and collections	ru_RU