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- W2079063567 abstract "Models, degenerate with respect to a small parameter, which describe the propagation of disturbances with a finite velocity, are considered. Example, when parabolic models degenerate into hyperbolic ones and, inversely, when hyperbolic models can be obtained by a generalization of parabolic models, are given. The reduction of the three-dimensional problem of elasto-dynamics for a layer to a two-dimensional one on the basis of power series, and also the construction of weakly dispersive, but strongly non-linear models of the propagation of surface waves on water, close to hyperbolic models, are considered in more detail." @default.
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- W2079063567 date "2003-01-01" @default.
- W2079063567 modified "2023-09-25" @default.
- W2079063567 title "Some degenerate and generalized wave models in elasto- and hydrodynamics" @default.
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- W2079063567 doi "https://doi.org/10.1016/s0021-8928(03)90508-9" @default.
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