Estimate for the Errors of Asymptotic Solutions of the Cauchy-Poisson Problemстатья
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Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
Аннотация:Asymptotic solutions of a Cauchy–Poisson problem, which are known in general
form, are considered for Gaussian axially symmetric initial elevations of the free surface of
fluid. Errors for the approximation of asymptotic solutions are presented in dependence on
large dimensionless time. These errors were found in approximation of infinitely deep fluid
and for the cases in which the ratio of the typical radius of the initial perturbation to the
depth of the fluid belongs to the interval between a half and eight.