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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 1999 Volume 257, Pages 75–92 (Mi znsl986)

This article is cited in 11 papers

Diffraction of creeping waves from a line of a saltus of a curvature (Acoustic three-dimensional medium)

N. Ya. Kirpichnikovaa, V. B. Philippovba, A. S. Kirpichnikovaa

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Saint-Petersburg State University

Abstract: The problem of a diffraction of a creeping waves from a line of a rupture of a curvature is investigated, and the “oblique” falling in a three-dimensional acoustic medium is taken into account essentially. Two cases of a rupture of a curvature on a line of interface of surfaces are considered: a curvature of one sign, but different on magnitude, and case of a positive curvature conjugate on a line of a rupture with zero.

UDC: 517.9

Received: 12.10.1998


 English version:
Journal of Mathematical Sciences (New York), 2002, 108:5, 689–702

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