Global diffeomorphism of the Lagrangian flow-map for Equatorially-trapped internal water waves

被引：12

作者：

Rodriguez-Sanjurjo, Adrian ^{[1
]}

机构：

[1] Univ Coll Cork, Sch Math Sci, Cork, Ireland

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2017年 / 149卷

基金：

爱尔兰科学基金会;

关键词：

Global diffeomorphism; Internal waves; Geophysical water waves; Exact and explicit solution; EDGE WAVES;

D O I：

10.1016/j.na.2016.10.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to prove that the Lagrangian flow describing Equatorially-trapped water waves presented by Constantin (2014) is dynamically possible. This is achieved by proving that the three-dimensional mapping which describes the nonlinear exact solution to the geophysical governing equations is a global diffeomorphism. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：156 / 164

页数：9

共 29 条

[1]

[Anonymous], 2011, INT GEOPHYS, DOI DOI 10.1016/B978-0-12-088759-0.00016-X

[2]

Bennett A., 2006, Lagrangian fluid dynamics

[3] Edge waves along a sloping beach [J].