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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2006 Volume 332, Pages 38–47 (Mi znsl260)

Waves produced by sources on expanding disk

V. V. Borisov

Saint-Petersburg State University

Abstract: The explicit solutions of the inhomogeneous wave equation are constructed. The solutions obtained describe waves generated by a source distribution of a disk that expands with velocities less, equal, or greater than the wave-front velocity. The structure and directional transmission waves are discussed. Possibility of an application of the scalar solutions to electromagnetic waves is shown. Bibliography: 8 titles.

UDC: 538.3:621.396

Received: 18.04.2006


 English version:
Journal of Mathematical Sciences (New York), 2007, 142:6, 2540–2545

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© Steklov Math. Inst. of RAS, 2024