Казанский (Приволжский) федеральный университет, КФУ
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ON EXISTENCE AND UNIQUENESS OF A GENERALIZED SOLUTION TO THE CAUCHY PROBLEM FOR THE LAME SYSTEM
Форма представленияСтатьи в зарубежных журналах и сборниках
Год публикации2017
Языканглийский
  • 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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