Kazan (Volga region) Federal University, KFU
KAZAN
FEDERAL UNIVERSITY
 
ON EXISTENCE AND UNIQUENESS OF A GENERALIZED SOLUTION TO THE CAUCHY PROBLEM FOR THE LAME SYSTEM
Form of presentationArticles in international journals and collections
Year of publication2017
Языканглийский
  • 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

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