Inviscid, zero Froude number limit of the viscous shallow water system

In this paper, we study the inviscid and zero Froude number limits of the viscous shallow water system. We prove that the limit system is represented by the incompressible Euler equations on the whole space. Furthermore, the rate of convergence is also obtained.

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Bibliographic Details
Main Authors:	Yang Jianwei, Liu Mengyu, Hao Huiyun
Format:	article
Language:	EN
Published:	De Gruyter 2021
Subjects:	viscous shallow water equations incompressible euler equations low froude number limit inviscid limit 35b25 35q35 76b15 Mathematics QA1-939
Online Access:	https://doaj.org/article/2fd28990933f4c10a9dc14bd8b2f00f1
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spelling	oai:doaj.org-article:2fd28990933f4c10a9dc14bd8b2f00f12021-12-05T14:10:53ZInviscid, zero Froude number limit of the viscous shallow water system2391-545510.1515/math-2021-0043https://doaj.org/article/2fd28990933f4c10a9dc14bd8b2f00f12021-07-01T00:00:00Zhttps://doi.org/10.1515/math-2021-0043https://doaj.org/toc/2391-5455In this paper, we study the inviscid and zero Froude number limits of the viscous shallow water system. We prove that the limit system is represented by the incompressible Euler equations on the whole space. Furthermore, the rate of convergence is also obtained.Yang JianweiLiu MengyuHao HuiyunDe Gruyterarticleviscous shallow water equationsincompressible euler equationslow froude number limitinviscid limit35b2535q3576b15MathematicsQA1-939ENOpen Mathematics, Vol 19, Iss 1, Pp 531-539 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	viscous shallow water equations incompressible euler equations low froude number limit inviscid limit 35b25 35q35 76b15 Mathematics QA1-939
spellingShingle	viscous shallow water equations incompressible euler equations low froude number limit inviscid limit 35b25 35q35 76b15 Mathematics QA1-939 Yang Jianwei Liu Mengyu Hao Huiyun Inviscid, zero Froude number limit of the viscous shallow water system
description	In this paper, we study the inviscid and zero Froude number limits of the viscous shallow water system. We prove that the limit system is represented by the incompressible Euler equations on the whole space. Furthermore, the rate of convergence is also obtained.
format	article
author	Yang Jianwei Liu Mengyu Hao Huiyun
author_facet	Yang Jianwei Liu Mengyu Hao Huiyun
author_sort	Yang Jianwei
title	Inviscid, zero Froude number limit of the viscous shallow water system
title_short	Inviscid, zero Froude number limit of the viscous shallow water system
title_full	Inviscid, zero Froude number limit of the viscous shallow water system
title_fullStr	Inviscid, zero Froude number limit of the viscous shallow water system
title_full_unstemmed	Inviscid, zero Froude number limit of the viscous shallow water system
title_sort	inviscid, zero froude number limit of the viscous shallow water system
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/2fd28990933f4c10a9dc14bd8b2f00f1
work_keys_str_mv	AT yangjianwei inviscidzerofroudenumberlimitoftheviscousshallowwatersystem AT liumengyu inviscidzerofroudenumberlimitoftheviscousshallowwatersystem AT haohuiyun inviscidzerofroudenumberlimitoftheviscousshallowwatersystem
_version_	1718371593835511808

Inviscid, zero Froude number limit of the viscous shallow water system

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