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- W4298064314 abstract "In this paper we consider an acoustic problem of wave propagation through a discontinuous medium. The problem is reduced to the dissipative wave equation with distributional dissipation. We show that this problem has a so-called very weak solution, we analyse its properties and illustrate the theoretical results through some numerical simulations by approximating the solutions to the full dissipative model for a particular synthetic piecewise continuous medium. In particular, we discover numerically a very interesting phenomenon of the appearance of a new wave at the singular point. For the acoustic problem this can be interpreted as an echo effect at the discontinuity interface of the medium." @default.
- W4298064314 created "2022-10-01" @default.
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- W4298064314 date "2017-05-03" @default.
- W4298064314 modified "2023-10-16" @default.
- W4298064314 title "Wave propagation with irregular dissipation and applications to acoustic problems and shallow waters" @default.
- W4298064314 doi "https://doi.org/10.48550/arxiv.1705.01401" @default.
- W4298064314 hasPublicationYear "2017" @default.
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