Existence of a regular solution for 1D Green–Naghdi equations with surface tension at a large time instant

Abstract In this paper the model 1D-GNσ is considered, which concerns the 1D Green–Naghdi equations with non-flat bottom and under the influence of surface tension, to be widely used in coastal oceanography to describe the propagation of large-wave amplitudes. The purpose of this paper is to show th...

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Bibliographic Details
Main Authors: Mohammad Haidar, Toufic El Arwadi, Samer Israwi
Format: Article
Language:English
Published: SpringerOpen 2018-09-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-018-1055-2