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Interaction of Elastic and Scalar Fields
Author(s) -
Natroshvili David,
Sadunishvili Guram
Publication year - 1996
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/(sici)1099-1476(199612)19:18<1445::aid-mma829>3.0.co;2-b
Subject(s) - mathematics , bounded function , uniqueness , scalar (mathematics) , scalar field , domain (mathematical analysis) , homogeneous , mathematical analysis , anisotropy , scalar potential , mathematical physics , geometry , physics , quantum mechanics , combinatorics
The three‐dimensional mathematical problems of the interaction of an elastic and some scalar fields are investigated. It is assumed that the elastic structure under consideration is a bounded homogeneous anisotropic body occupying domain Ω¯ + ⊂ℝ 3 and the physical scalar field is defined in the exterior domain Ω − = ℝ 3 \Ω + . These two fields satisfy the governing equations in the corresponding domains together with the transmission conditions on the interface ∂Ω + . The problems are studied by the potential method and the existence and uniqueness theorems are proved.