КФУ. Карточка публикации. On existence and uniqueness of a generalized solution to the Cauchy problem for the Lame system

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

Форма представления

Статьи в зарубежных журналах и сборниках

Год публикации

2017

Язык

английский

Авторы, сотрудники КФУ

Данилова Анастасия Вадимовна, автор

Рунг Елена Владимировна, автор

Тумаков Дмитрий Николаевич, автор

Библиографическое описание на языке оригинала

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.

Аннотация

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.

Ключевые слова

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

Название журнала

Journal of Fundamental and Applied Sciences

URL

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

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https://repository.kpfu.ru/?p_id=164240

Полная запись метаданных

Поле DC	Значение	Язык
dc.contributor.author	Данилова Анастасия Вадимовна	ru_RU
dc.contributor.author	Рунг Елена Владимировна	ru_RU
dc.contributor.author	Тумаков Дмитрий Николаевич	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/?p_id=164240	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	Статьи в зарубежных журналах и сборниках	ru_RU