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Estimation of accuracy of an asymptotic solution of the generalized Cauchy problem for the Boussinesq equation as applied to the potential model of tsunami with a "simple" sourceстатья
Статья опубликована в журнале из списка RSCI Web of Science
Информация о цитировании статьи получена из
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Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 17 января 2018 г.
- Автор: Sekerzh-Zen'kovich S.Ya
- Журнал: Russian Journal of Mathematical Physics
- Том: 24
- Номер: 4
- Год издания: 2017
- Издательство: Pleiades Publishing, Ltd
- Местоположение издательства: Road Town, United Kingdom
- Первая страница: 526
- Последняя страница: 533
- DOI: 10.1134/S1061920817040112
- Аннотация: Statement of the hydrodynamic problem in the framework of the potential tsunami model with "simple" source whose solution is chosen as the reference one. Generalized Cauchy problem for the Boussinesq equation and its reduction to the classical one. Analytical solution of the Cauchy problem for the Boussinesq equation. An explanation of the incorrectness of the formulation of the problem. Derivation of an approximate equation for the correct setting of the Cauchy problem. The known reference solution of the problem. An analytical solution of the correct problem and the derivation of its asymptotic representation in the "far zone." Comparison of the graphs of the temporal history of wave height calculated by the formulas of the asymptotic and reference solutions. Estimation of the accuracy of the asymptotic solution by a three-level scale. Discussion. A remark concerning the referees.
- Добавил в систему: Левитин Александр Леонидович
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