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Mathematical methods in some diffraction problems for domains with defects

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dc.contributor.author Gousenkova A.
dc.date.accessioned 2018-09-17T22:00:03Z
dc.date.available 2018-09-17T22:00:03Z
dc.date.issued 2002
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/135705
dc.description.abstract © 2002 IEEE. Mathematical methods in diffraction problems for elastic time-harmonic waves on defects are considered. It is assumed that body forces are absent and the defect may be disposed on the plane in the homogeneous isotropic space or on the media interface of two homogeneous isotropic half-spaces. Systems of singular integral equations are obtained for the problems. Some approaches to elastodynamic problems in the case of an anisotropic elastic medium are considered too. Analogues of the Lopatinskii condition and boundary conditions of an elliptic boundary value problem in the halfspace are obtained. It is shown that both approaches are equivalent. To solve these problems classes of outgoing from plane solutions are introduced. The Fourier transformation in the class of generalized functions of slow growth at infinity and presentations of solutions of the problems by potential functions are used.
dc.subject Anisotropic magnetoresistance
dc.subject Boundary conditions
dc.subject Boundary value problems
dc.subject Diffraction
dc.subject Elastodynamics
dc.subject Fourier transforms
dc.subject Integral equations
dc.subject Laplace equations
dc.subject Mathematics
dc.subject Stress
dc.title Mathematical methods in some diffraction problems for domains with defects
dc.type Conference Paper
dc.relation.ispartofseries-volume 2
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 496
dc.source.id SCOPUS-2002-2-SID84948988751


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  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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