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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020 Number 3, Pages 58–62 (Mi vmumm4332)

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Solution of mixed problems on diffraction of non stationary plane and cylinder waves on a half-plane and explosion waves protection by barriers

M. Sh. Israilova, S. E. Nosovb, M.-R. B. Khadisovc

a Complex Research Institute, Russian Academy of Sciences, Groznyi
b Gubkin Russian State University of Oil and Gas
c State Petroleum Groznii Institute

Abstract: Exact analytical solutions of diffraction problems are obtained for nonstationary plane and cylindrical waves on a half-plane when the following mixed boundary conditions are given: the Neumann condition on one side of the half-plane and the Dirichlet condition on the other one. The numerical analysis of near-front asymptotic solutions shows that there is a considerably greater weakening (attenuation) of explosive waves behind the half-plane (barrier) with sides of the different noise absorption properties, than under full reflection from both sides of the half-plane.

Key words: nonstationary waves, diffraction, protection against explosive waves.

UDC: 539.3:534.1

Received: 10.12.2018


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2020, 75:3, 69–74

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© Steklov Math. Inst. of RAS, 2024