Geodesic
Solution of mixed problems on diffraction of non stationary plane and cylinder waves on a half-plane and explosion waves protection by barriers
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2020), pp. 58-62

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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. 
@article{VMUMM_2020_3_a10,
     author = {M. Sh. Israilov and S. E. Nosov and M.-R. B. Khadisov},
     title = {Solution of mixed problems on diffraction of non stationary plane and cylinder waves on a half-plane and explosion waves protection by barriers},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {58--62},
     publisher = {mathdoc},
     number = {3},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2020_3_a10/}
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M. Sh. Israilov; S. E. Nosov; M.-R. B. Khadisov. Solution of mixed problems on diffraction of non stationary plane and cylinder waves on a half-plane and explosion waves protection by barriers. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2020), pp. 58-62. http://geodesic.mathdoc.fr/item/VMUMM_2020_3_a10/