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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 1998 Volume 250, Pages 274–287 (Mi znsl655)

This article is cited in 8 papers

The edge wave in the problem of diffraction from the curvature jump on the boundary of the region

V. B. Philippov, N. Ya. Kirpichnikova

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

Abstract: A problem of the diffraction of the creeping waves over-running from the side of the convex boundary to the point of the curvature jump – the point of transition of the convex boundary into the straight boundary is studied. On passing throught the point of the curvature jump, the tangent to the region boundary is changed continiously, but the velocity of this change has the jump. The edge wave is received and investigated.

UDC: 517.9

Received: 07.10.1997


 English version:
Journal of Mathematical Sciences (New York), 2000, 102:4, 4312–4320

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