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

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• 作者：Adri&aacute ; n Rodrí ; guez-Sanjurjo ^{a.rodriguezsanjurjo@umail.ucc.ie}
• 关键词：35Q86 ; 35A16 ; 35C05 ; 35Q35
• 刊名：Nonlinear Analysis: Theory, Methods & Applications
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：149
• 期：Complete
• 页码：156-164
• 全文大小：626 K
• 卷排序：149

文摘

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.