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Simple exact and asymptotic solutions of the 1D run-up problem over a slowly varying (quasiplanar) bottomстатья
- Авторы: Dobrokhotov S.Yu, Minenkov D.S., Nazaikinskii V.E., Tirozzi B.
- Сборник: Theory and Applications in Mathematical Physics
- Том: 3
- Год издания: 2015
- Место издания: WORLD SCIENTIFIC Singapore
- Первая страница: 29
- Последняя страница: 47
- DOI: 10.1142/9789814713283_0003
- Аннотация: We discuss localized asymptotic solution of the one-dimensional nonlinear shallow water equations over nonplanar bottom with depth vanishing at the origin (the “nonlinear run-up problem”). We use the semiclassical approximation and a generalization of the Carrier–Greenspan transformation to obtain a simple efficient formulas for the run-up of localized waves on the shore and the uprush of such waves.
- Добавил в систему: Миненков Дмитрий Сергеевич