Description of tsunami propagation based on the Maslov canonical operatorстатья
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Дата последнего поиска статьи во внешних источниках: 27 февраля 2017 г.
Аннотация:An asymptotically numerical description of Tsunami propagation based on the Maslov canonical operator is proposed. Tsunamis in a variable depth basin in the neighborhood of a wavefront that can have caustics are considered. The description makes use of well-known objects of wave theory and geometric optics and makes it possible to analyze a large number of tsunami propagation scenarios and to give quantitative explanations of various related effects with the help of Mathematica or Mapple without spending much CPU time. The motion of a heavy incompressible inviscid fluid, which is induced by the momentum, is considered in the linear approximation. The asymptotic representation extends the Green law for one-dimensional waves to two dimensions. The asymptotic representation of the solution represents a double integral and the order of the solutions's amplitude at the focal points is estimated depending on their types.