Asymptotic theory of linear water waves in a domain with nonuniform bottom with rapidly oscillating sections

被引：15

作者：

Dobrokhotov, S. Yu. ^{[1
,2
]}

Grushin, V. V. ^{[3
]}

Sergeev, S. A. ^{[1
,2
]}

Tirozzi, B. ^{[4
]}

机构：

[1] Russian Acad Sci, A Ishlinskii Inst Problems Mech, Moscow, Russia

[2] Moscow Inst Phys & Technol, Moscow, Russia

[3] Natl Res Univ Higher Sch Econ, Moscow, Russia

[4] RITMARE CINFAI, ENEA, Moscow, Russia

来源：

RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS | 2016年 / 23卷 / 04期

基金：

俄罗斯基础研究基金会;

关键词：

GRAVITY-WAVES; HOMOGENIZATION; COEFFICIENTS; EQUATIONS;

D O I：

10.1134/S1061920816040038

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A linear problem for propagation of gravity waves in the basin having the bottom of a form of a smooth background with added rapid oscillations is considered. The formulas derived below are asymptotic ones; they are quite formal, and we do not discuss the problem concerning their uniformness with respect to these parameters.

引用

页码：455 / 474

页数：20

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