Abstract
The problem of the diffraction of creeping waves on a point of transition of the convex boundary to the straight boundary of a domain is investigated. It is assumed that at the point of jump of curvature, the tangent to the boundary is continuous and its derivative has a jump. An expression for the edge wave is obtained and investigated. Bibliography: 4 titles.
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References
N. Ya. Kirpichnikova and V. B. Philippov, “Behavior of surface waves at transition through a junction line on the boundary of an elastic homogeneous isotropic body,”Zap. Nauchn. Semin. POMI,230, 86–102 (1995).
L. Kaminetzky and J. B. Keller, “Diffraction coefficients for high order edges and vertices,”Siam. J. Appl. Math.,22, 109–132 (1972)
A. V. Popov, The inverse scattering from a line of jump of curvature, in:Proceedings of V All-Union Symposium on Diffraction and Propagation of Waves [in Russian], Leningrad (1975), pp. 171–175.
E. T. Whittaker and G. N. Watson,A Course in Modern Analysis, Cambridge (1927).
Additional information
Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 250, 1998, pp. 274–287.
Translated by N. Ya. Kirpichnikova.
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Philippov, V.B., Kirpichnikova, N.Y. The edge wave in the problem of diffraction on a boundary with jump of curvature. J Math Sci 102, 4312–4320 (2000). https://doi.org/10.1007/BF02673861
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DOI: https://doi.org/10.1007/BF02673861