On scattering of waves by a slowly expanding contour
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 28, Tome 257 (1999), pp. 149-156

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Scattering of a plane wave by an expanding contour which arises at the initial moment of time is discussed. Formal asymptotic solutions in characteristic subdomains are computed for the small relative speed of expansion.
@article{ZNSL_1999_257_a9,
     author = {M. A. Lyalinov},
     title = {On scattering of waves by a slowly expanding contour},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {149--156},
     publisher = {mathdoc},
     volume = {257},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1999_257_a9/}
}
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M. A. Lyalinov. On scattering of waves by a slowly expanding contour. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 28, Tome 257 (1999), pp. 149-156. http://geodesic.mathdoc.fr/item/ZNSL_1999_257_a9/